25578091872000 has 1440 divisors, whose sum is σ = 99068398228800. Its totient is φ = 6545387520000.

The previous prime is 25578091871999. The next prime is 25578091872043. The reversal of 25578091872000 is 27819087552.

25578091872000 is a `hidden beast` number, since 2 + 557 + 8 + 0 + 9 + 1 + 87 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13455071050 + ... + 13455072950.

It is an arithmetic number, because the mean of its divisors is an integer number (68797498770).

Almost surely, 2^{25578091872000} is an apocalyptic number.

25578091872000 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 25578091872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49534199114400).

25578091872000 is an abundant number, since it is smaller than the sum of its proper divisors (73490306356800).

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

25578091872000 is a wasteful number, since it uses less digits than its factorization.

25578091872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 25578091872000 in words is "twenty-five trillion, five hundred seventy-eight billion, ninety-one million, eight hundred seventy-two thousand".