126633715200 has 840 divisors, whose sum is σ = 483331236696. Its totient is φ = 32845824000.

The previous prime is 126633715199. The next prime is 126633715213. The reversal of 126633715200 is 2517336621.

126633715200 is a `hidden beast` number, since 1 + 2 + 6 + 63 + 3 + 71 + 520 + 0 = 666.

It is a super-2 number, since 2×126633715200² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 382579035 + ... + 382579365.

Almost surely, 2^126633715200 is an apocalyptic number.

126633715200 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 126633715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241665618348).

126633715200 is an abundant number, since it is smaller than the sum of its proper divisors (356697521496).

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

126633715200 is an frugal number, since it uses more digits than its factorization.

126633715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 126633715200 in words is "one hundred twenty-six billion, six hundred thirty-three million, seven hundred fifteen thousand, two hundred".