25131768625152 has 768 divisors, whose sum is σ = 88118110080000. Its totient is φ = 7072975945728.

The previous prime is 25131768625099. The next prime is 25131768625163. The reversal of 25131768625152 is 25152686713152.

25131768625152 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 1 + 7 + 6 + 8 + 625 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 1270747488 + ... + 1270767264.

It is an arithmetic number, because the mean of its divisors is an integer number (114737122500).

Almost surely, 2^{25131768625152} 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 25131768625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44059055040000).

25131768625152 is an abundant number, since it is smaller than the sum of its proper divisors (62986341454848).

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

25131768625152 is an equidigital number, since it uses as much as digits as its factorization.

25131768625152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19896 (or 19856 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 25131768625152 in words is "twenty-five trillion, one hundred thirty-one billion, seven hundred sixty-eight million, six hundred twenty-five thousand, one hundred fifty-two".