25381733465088 has 2376 divisors, whose sum is σ = 103747690453680. Its totient is φ = 5874823987200.

The previous prime is 25381733465069. The next prime is 25381733465093. The reversal of 25381733465088 is 88056433718352.

25381733465088 is a `hidden beast` number, since 2 + 5 + 3 + 81 + 7 + 3 + 3 + 46 + 508 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 62058027828 + ... + 62058028236.

Almost surely, 2^{25381733465088} is an apocalyptic number.

25381733465088 is a gapful number since it is divisible by the number (28) 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 25381733465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51873845226840).

25381733465088 is an abundant number, since it is smaller than the sum of its proper divisors (78365956988592).

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

25381733465088 is a wasteful number, since it uses less digits than its factorization.

25381733465088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 25381733465088 in words is "twenty-five trillion, three hundred eighty-one billion, seven hundred thirty-three million, four hundred sixty-five thousand, eighty-eight".