126331516800 has 864 divisors, whose sum is σ = 493333659000. Its totient is φ = 30741258240.

The previous prime is 126331516777. The next prime is 126331516823. The reversal of 126331516800 is 8615133621.

126331516800 is a `hidden beast` number, since 1 + 2 + 63 + 3 + 1 + 516 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126331516777) and next prime (126331516823).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 301506991 + ... + 301507409.

Almost surely, 2^126331516800 is an apocalyptic number.

126331516800 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 126331516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246666829500).

126331516800 is an abundant number, since it is smaller than the sum of its proper divisors (367002142200).

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

126331516800 is a wasteful number, since it uses less digits than its factorization.

126331516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 126331516800 in words is "one hundred twenty-six billion, three hundred thirty-one million, five hundred sixteen thousand, eight hundred".