25871616000 has 768 divisors, whose sum is σ = 101189088000. Its totient is φ = 6502809600.

The previous prime is 25871615999. The next prime is 25871616031. The reversal of 25871616000 is 61617852.

25871616000 is a `hidden beast` number, since 2 + 587 + 16 + 1 + 60 + 0 + 0 = 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 (36).

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, 131327902 + ... + 131328098.

It is an arithmetic number, because the mean of its divisors is an integer number (131756625).

Almost surely, 2^25871616000 is an apocalyptic number.

25871616000 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 25871616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50594544000).

25871616000 is an abundant number, since it is smaller than the sum of its proper divisors (75317472000).

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

25871616000 is a wasteful number, since it uses less digits than its factorization.

25871616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 25871616000 in words is "twenty-five billion, eight hundred seventy-one million, six hundred sixteen thousand".