25156057006080 has 6144 divisors, whose sum is σ = 132631934976000. Its totient is φ = 4372436090880.

The previous prime is 25156057006039. The next prime is 25156057006151. The reversal of 25156057006080 is 8060075065152.

25156057006080 is a `hidden beast` number, since 2 + 5 + 1 + 560 + 5 + 7 + 0 + 0 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1093741608949 + ... + 1093741608971.

It is an arithmetic number, because the mean of its divisors is an integer number (21587229000).

Almost surely, 2^{25156057006080} is an apocalyptic number.

25156057006080 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 25156057006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66315967488000).

25156057006080 is an abundant number, since it is smaller than the sum of its proper divisors (107475877969920).

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

25156057006080 is a wasteful number, since it uses less digits than its factorization.

25156057006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 25156057006080 in words is "twenty-five trillion, one hundred fifty-six billion, fifty-seven million, six thousand, eighty".