25755100049340 has 240 divisors, whose sum is σ = 81563970926592. Its totient is φ = 6802656753024.

The previous prime is 25755100049333. The next prime is 25755100049363. The reversal of 25755100049340 is 4394000155752.

25755100049340 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 510 + 0 + 0 + 4 + 93 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1498862389 + ... + 1498879571.

Almost surely, 2^{25755100049340} is an apocalyptic number.

25755100049340 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 25755100049340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40781985463296).

25755100049340 is an abundant number, since it is smaller than the sum of its proper divisors (55808870877252).

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

25755100049340 is a wasteful number, since it uses less digits than its factorization.

25755100049340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25958 (or 25947 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 25755100049340 in words is "twenty-five trillion, seven hundred fifty-five billion, one hundred million, forty-nine thousand, three hundred forty".