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25858068480 = 212335101463
BaseRepresentation
bin11000000101010000…
…101101000000000000
32110202002111222111000
4120011100231000000
5410424131142410
615513512052000
71603533645516
oct300520550000
973662458430
1025858068480
11aa6a229632
125017994000
13259123b14a
14137430a4b6
15a151b9dc0
hex60542d000

25858068480 has 416 divisors, whose sum is σ = 93039275520. Its totient is φ = 6812467200.

The previous prime is 25858068479. The next prime is 25858068503. The reversal of 25858068480 is 8486085852.

It is a happy number.

25858068480 is a `hidden beast` number, since 2 + 5 + 85 + 80 + 6 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55848729 + ... + 55849191.

Almost surely, 225858068480 is an apocalyptic number.

25858068480 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 25858068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46519637760).

25858068480 is an abundant number, since it is smaller than the sum of its proper divisors (67181207040).

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

25858068480 is a wasteful number, since it uses less digits than its factorization.

25858068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 25858068480 in words is "twenty-five billion, eight hundred fifty-eight million, sixty-eight thousand, four hundred eighty".