25153254991872 has 2304 divisors, whose sum is σ = 99100913184000. Its totient is φ = 6242697216000.

The previous prime is 25153254991859. The next prime is 25153254991877. The reversal of 25153254991872 is 27819945235152.

25153254991872 is a `hidden beast` number, since 2 + 5 + 1 + 5 + 3 + 2 + 549 + 9 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×25153254991872² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25153254991877) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35881961122 + ... + 35881961822.

It is an arithmetic number, because the mean of its divisors is an integer number (43012549125).

Almost surely, 2^{25153254991872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25153254991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550456592000).

25153254991872 is an abundant number, since it is smaller than the sum of its proper divisors (73947658192128).

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

25153254991872 is a wasteful number, since it uses less digits than its factorization.

25153254991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 790 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 25153254991872 in words is "twenty-five trillion, one hundred fifty-three billion, two hundred fifty-four million, nine hundred ninety-one thousand, eight hundred seventy-two".