25877517120 has 1568 divisors, whose sum is σ = 120892165632. Its totient is φ = 5123948544.

The previous prime is 25877517109. The next prime is 25877517157. The reversal of 25877517120 is 2171577852.

25877517120 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 7 + 517 + 120 = 666.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 488255014 + ... + 488255066.

Almost surely, 2^25877517120 is an apocalyptic number.

25877517120 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 25877517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60446082816).

25877517120 is an abundant number, since it is smaller than the sum of its proper divisors (95014648512).

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

25877517120 is a wasteful number, since it uses less digits than its factorization.

25877517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 25877517120 in words is "twenty-five billion, eight hundred seventy-seven million, five hundred seventeen thousand, one hundred twenty".