126528631789600 has 72 divisors (see below), whose sum is σ = 308918063642580. Its totient is φ = 50606530437120.

The previous prime is 126528631789559. The next prime is 126528631789643. The reversal of 126528631789600 is 6987136825621.

It can be written as a sum of positive squares in 6 ways, for example, as 94264914016144 + 32263717773456 = 9709012^2 + 5680116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545284 + ... + 15917116.

Almost surely, 2^{126528631789600} is an apocalyptic number.

126528631789600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126528631789600 is an abundant number, since it is smaller than the sum of its proper divisors (182389431852980).

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

126528631789600 is a wasteful number, since it uses less digits than its factorization.

126528631789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15382142 (or 15382129 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 126528631789600 in words is "one hundred twenty-six trillion, five hundred twenty-eight billion, six hundred thirty-one million, seven hundred eighty-nine thousand, six hundred".