126800710400 has 648 divisors, whose sum is σ = 414123025680. Its totient is φ = 37994987520.

The previous prime is 126800710369. The next prime is 126800710481. The reversal of 126800710400 is 4017008621.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77458382 + ... + 77460018.

Almost surely, 2^126800710400 is an apocalyptic number.

126800710400 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 126800710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207061512840).

126800710400 is an abundant number, since it is smaller than the sum of its proper divisors (287322315280).

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

126800710400 is a wasteful number, since it uses less digits than its factorization.

126800710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 126800710400 in words is "one hundred twenty-six billion, eight hundred million, seven hundred ten thousand, four hundred".