25332400423352 has 64 divisors (see below), whose sum is σ = 54546760800000. Its totient is φ = 10908026196480.

The previous prime is 25332400423283. The next prime is 25332400423361.

25332400423352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25332400423352² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27569024 + ... + 28473072.

It is an arithmetic number, because the mean of its divisors is an integer number (852293137500).

Almost surely, 2^{25332400423352} is an apocalyptic number.

25332400423352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25332400423352 is an abundant number, since it is smaller than the sum of its proper divisors (29214360376648).

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

25332400423352 is a wasteful number, since it uses less digits than its factorization.

25332400423352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920844 (or 920840 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

It can be divided in two parts, 25332400 and 423352, that added together give a palindrome (25755752).

The spelling of 25332400423352 in words is "twenty-five trillion, three hundred thirty-two billion, four hundred million, four hundred twenty-three thousand, three hundred fifty-two".