126252558720 has 96 divisors (see below), whose sum is σ = 435965886720. Its totient is φ = 33667347456.

The previous prime is 126252558713. The next prime is 126252558727. The reversal of 126252558720 is 27855252621.

126252558720 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 525 + 58 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126252558713) and next prime (126252558727).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126252558727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10953664 + ... + 10965183.

It is an arithmetic number, because the mean of its divisors is an integer number (4541311320).

Almost surely, 2^126252558720 is an apocalyptic number.

126252558720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126252558720 is an abundant number, since it is smaller than the sum of its proper divisors (309713328000).

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

126252558720 is a wasteful number, since it uses less digits than its factorization.

126252558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21918872 (or 21918857 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 126252558720 in words is "one hundred twenty-six billion, two hundred fifty-two million, five hundred fifty-eight thousand, seven hundred twenty".