25528145872320 has 672 divisors, whose sum is σ = 112071743067648. Its totient is φ = 5386156756992.

The previous prime is 25528145872291. The next prime is 25528145872381. The reversal of 25528145872320 is 2327854182552.

25528145872320 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 8 + 14 + 587 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 5272347 + ... + 8879973.

It is an arithmetic number, because the mean of its divisors is an integer number (166773427184).

Almost surely, 2^{25528145872320} is an apocalyptic number.

25528145872320 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 25528145872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56035871533824).

25528145872320 is an abundant number, since it is smaller than the sum of its proper divisors (86543597195328).

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

25528145872320 is a wasteful number, since it uses less digits than its factorization.

25528145872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607679 (or 3607657 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 25528145872320 in words is "twenty-five trillion, five hundred twenty-eight billion, one hundred forty-five million, eight hundred seventy-two thousand, three hundred twenty".