25872355080 has 1152 divisors, whose sum is σ = 110067310080. Its totient is φ = 5188976640.

The previous prime is 25872355073. The next prime is 25872355123. The reversal of 25872355080 is 8055327852.

25872355080 is a `hidden beast` number, since 25 + 8 + 72 + 3 + 550 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 550475617 + ... + 550475663.

It is an arithmetic number, because the mean of its divisors is an integer number (95544540).

Almost surely, 2^25872355080 is an apocalyptic number.

25872355080 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 25872355080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55033655040).

25872355080 is an abundant number, since it is smaller than the sum of its proper divisors (84194955000).

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

25872355080 is a wasteful number, since it uses less digits than its factorization.

25872355080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 25872355080 in words is "twenty-five billion, eight hundred seventy-two million, three hundred fifty-five thousand, eighty".