12635022400 has 840 divisors, whose sum is σ = 44463029184. Its totient is φ = 3477196800.

The previous prime is 12635022391. The next prime is 12635022419. The reversal of 12635022400 is 422053621.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 549348789 + ... + 549348811.

Almost surely, 2^12635022400 is an apocalyptic number.

12635022400 is a gapful number since it is divisible by the number (10) 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 12635022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22231514592).

12635022400 is an abundant number, since it is smaller than the sum of its proper divisors (31828006784).

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

12635022400 is a wasteful number, since it uses less digits than its factorization.

12635022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

It can be divided in two parts, 126350 and 22400, that multiplied together give a square (2830240000 = 53200²).

The spelling of 12635022400 in words is "twelve billion, six hundred thirty-five million, twenty-two thousand, four hundred".