126462388800 has 672 divisors, whose sum is σ = 489462958080. Its totient is φ = 28250726400.

The previous prime is 126462388777. The next prime is 126462388831. The reversal of 126462388800 is 8883264621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126462388800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37116697 + ... + 37120103.

Almost surely, 2^126462388800 is an apocalyptic number.

126462388800 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 126462388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244731479040).

126462388800 is an abundant number, since it is smaller than the sum of its proper divisors (363000569280).

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

126462388800 is a wasteful number, since it uses less digits than its factorization.

126462388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 126462388800 in words is "one hundred twenty-six billion, four hundred sixty-two million, three hundred eighty-eight thousand, eight hundred".