126285978400 has 36 divisors (see below), whose sum is σ = 308295646722. Its totient is φ = 50514391040.

The previous prime is 126285978367. The next prime is 126285978407. The reversal of 126285978400 is 4879582621.

It can be written as a sum of positive squares in 3 ways, for example, as 51763530256 + 74522448144 = 227516^2 + 272988^2 .

It is not an unprimeable number, because it can be changed into a prime (126285978407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 78927937 + ... + 78929536.

Almost surely, 2^126285978400 is an apocalyptic number.

126285978400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126285978400 is an abundant number, since it is smaller than the sum of its proper divisors (182009668322).

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

126285978400 is a wasteful number, since it uses less digits than its factorization.

126285978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157857493 (or 157857480 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 126285978400 in words is "one hundred twenty-six billion, two hundred eighty-five million, nine hundred seventy-eight thousand, four hundred".