25363088036352 has 160 divisors (see below), whose sum is σ = 81901638941760. Its totient is φ = 7685784207360.

The previous prime is 25363088036263. The next prime is 25363088036353.

25363088036352 is a `hidden beast` number, since 253 + 6 + 3 + 0 + 8 + 8 + 0 + 36 + 352 = 666.

25363088036352 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×25363088036352³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25363088036353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83244033 + ... + 83548160.

It is an arithmetic number, because the mean of its divisors is an integer number (511885243386).

Almost surely, 2^{25363088036352} is an apocalyptic number.

25363088036352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25363088036352 is an abundant number, since it is smaller than the sum of its proper divisors (56538550905408).

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

25363088036352 is a wasteful number, since it uses less digits than its factorization.

25363088036352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166792231 (or 166792209 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 25363088036352 in words is "twenty-five trillion, three hundred sixty-three billion, eighty-eight million, thirty-six thousand, three hundred fifty-two".