126469324800 has 1620 divisors, whose sum is σ = 579968035920. Its totient is φ = 25763512320.

The previous prime is 126469324781. The next prime is 126469324819. The reversal of 126469324800 is 8423964621.

126469324800 is a `hidden beast` number, since 1 + 264 + 69 + 324 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126469324781) and next prime (126469324819).

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

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, 4361011186 + ... + 4361011214.

Almost surely, 2^126469324800 is an apocalyptic number.

126469324800 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 126469324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289984017960).

126469324800 is an abundant number, since it is smaller than the sum of its proper divisors (453498711120).

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

126469324800 is a wasteful number, since it uses less digits than its factorization.

126469324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

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

The spelling of 126469324800 in words is "one hundred twenty-six billion, four hundred sixty-nine million, three hundred twenty-four thousand, eight hundred".