126755020800 has 672 divisors, whose sum is σ = 473093856960. Its totient is φ = 33681899520.

The previous prime is 126755020759. The next prime is 126755020807. The reversal of 126755020800 is 8020557621.

It is a happy number.

126755020800 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 550 + 20 + 80 + 0 = 666.

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 (126755020807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447897459 + ... + 447897741.

Almost surely, 2^126755020800 is an apocalyptic number.

126755020800 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 126755020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236546928480).

126755020800 is an abundant number, since it is smaller than the sum of its proper divisors (346338836160).

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

126755020800 is an frugal number, since it uses more digits than its factorization.

126755020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 126755020800 in words is "one hundred twenty-six billion, seven hundred fifty-five million, twenty thousand, eight hundred".