25578088427232 has 1200 divisors, whose sum is σ = 91177688714112. Its totient is φ = 6962882826240.

The previous prime is 25578088427081. The next prime is 25578088427291. The reversal of 25578088427232 is 23272488087552.

25578088427232 is a `hidden beast` number, since 2 + 5 + 57 + 80 + 88 + 427 + 2 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25578088427232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 54771067063 + ... + 54771067529.

Almost surely, 2^{25578088427232} is an apocalyptic number.

25578088427232 is a gapful number since it is divisible by the number (22) 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 25578088427232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45588844357056).

25578088427232 is an abundant number, since it is smaller than the sum of its proper divisors (65599600286880).

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

25578088427232 is an equidigital number, since it uses as much as digits as its factorization.

25578088427232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 25578088427232 in words is "twenty-five trillion, five hundred seventy-eight billion, eighty-eight million, four hundred twenty-seven thousand, two hundred thirty-two".