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25755942421440 = 26325711307378317
BaseRepresentation
bin1011101101100110001011…
…10011001000001111000000
310101012020120220121111011200
411312303011303020033000
511333441132224441230
6130440041104141200
75265543156241140
oct566630563101700
9111166526544150
1025755942421440
11823004104a440
122a7b811007800
13114aa0c74094a
1465084693a920
152e9e87a67160
hex176cc5cc83c0

25755942421440 has 672 divisors, whose sum is σ = 110809572217344. Its totient is φ = 5334437191680.

The previous prime is 25755942421421. The next prime is 25755942421463. The reversal of 25755942421440 is 4412424955752.

25755942421440 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 594 + 2 + 4 + 2 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67891162 + ... + 68269478.

It is an arithmetic number, because the mean of its divisors is an integer number (164895196752).

Almost surely, 225755942421440 is an apocalyptic number.

25755942421440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25755942421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55404786108672).

25755942421440 is an abundant number, since it is smaller than the sum of its proper divisors (85053629795904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25755942421440 is a wasteful number, since it uses less digits than its factorization.

25755942421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378665 (or 378652 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 25755942421440 in words is "twenty-five trillion, seven hundred fifty-five billion, nine hundred forty-two million, four hundred twenty-one thousand, four hundred forty".