25515165049920 has 5376 divisors, whose sum is σ = 130013459251200. Its totient is φ = 4635202682880.

The previous prime is 25515165049861. The next prime is 25515165049961. The reversal of 25515165049920 is 2994056151552.

25515165049920 is a `hidden beast` number, since 2 + 5 + 5 + 15 + 16 + 504 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 55108347609 + ... + 55108348071.

It is an arithmetic number, because the mean of its divisors is an integer number (24184051200).

Almost surely, 2^{25515165049920} is an apocalyptic number.

25515165049920 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 25515165049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65006729625600).

25515165049920 is an abundant number, since it is smaller than the sum of its proper divisors (104498294201280).

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

25515165049920 is a wasteful number, since it uses less digits than its factorization.

25515165049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 25515165049920 in words is "twenty-five trillion, five hundred fifteen billion, one hundred sixty-five million, forty-nine thousand, nine hundred twenty".