126866192400 has 180 divisors, whose sum is σ = 466158854772. Its totient is φ = 31840911360.

The previous prime is 126866192393. The next prime is 126866192441. The reversal of 126866192400 is 4291668621.

126866192400 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 6 + 619 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3850450704 + 123015741696 = 62052^2 + 350736^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975289 + ... + 1097688.

Almost surely, 2^126866192400 is an apocalyptic number.

126866192400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126866192400 is an abundant number, since it is smaller than the sum of its proper divisors (339292662372).

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

126866192400 is a wasteful number, since it uses less digits than its factorization.

126866192400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073018 (or 2073004 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 126866192400 in words is "one hundred twenty-six billion, eight hundred sixty-six million, one hundred ninety-two thousand, four hundred".