126535910400 has 264 divisors, whose sum is σ = 464677843040. Its totient is φ = 33742725120.

The previous prime is 126535910363. The next prime is 126535910401. The reversal of 126535910400 is 4019535621.

126535910400 is a `hidden beast` number, since 1 + 2 + 65 + 3 + 591 + 0 + 4 + 0 + 0 = 666.

126535910400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126535910400² (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 not an unprimeable number, because it can be changed into a prime (126535910401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599667 + ... + 782733.

Almost surely, 2^126535910400 is an apocalyptic number.

126535910400 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 126535910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232338921520).

126535910400 is an abundant number, since it is smaller than the sum of its proper divisors (338141932640).

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

126535910400 is a wasteful number, since it uses less digits than its factorization.

126535910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183106 (or 183077 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 126535910400 in words is "one hundred twenty-six billion, five hundred thirty-five million, nine hundred ten thousand, four hundred".