126364492800 has 2112 divisors, whose sum is σ = 597003456000. Its totient is φ = 26011238400.

The previous prime is 126364492783. The next prime is 126364492823. The reversal of 126364492800 is 8294463621.

126364492800 is a `hidden beast` number, since 1 + 2 + 6 + 364 + 4 + 9 + 280 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3082060780 + ... + 3082060820.

Almost surely, 2^126364492800 is an apocalyptic number.

126364492800 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 126364492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298501728000).

126364492800 is an abundant number, since it is smaller than the sum of its proper divisors (470638963200).

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

126364492800 is a wasteful number, since it uses less digits than its factorization.

126364492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 126364492800 in words is "one hundred twenty-six billion, three hundred sixty-four million, four hundred ninety-two thousand, eight hundred".