126688726200960 has 3072 divisors, whose sum is σ = 574435196375040. Its totient is φ = 25918341120000.

The previous prime is 126688726200941. The next prime is 126688726200983. The reversal of 126688726200960 is 69002627886621.

126688726200960 is a `hidden beast` number, since 1 + 266 + 8 + 87 + 2 + 6 + 200 + 96 + 0 = 666.

126688726200960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126688726200960³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 339648059334 + ... + 339648059706.

It is an arithmetic number, because the mean of its divisors is an integer number (186990623820).

Almost surely, 2^{126688726200960} is an apocalyptic number.

126688726200960 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 126688726200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287217598187520).

126688726200960 is an abundant number, since it is smaller than the sum of its proper divisors (447746470174080).

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

126688726200960 is a wasteful number, since it uses less digits than its factorization.

126688726200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 126688726200960 in words is "one hundred twenty-six trillion, six hundred eighty-eight billion, seven hundred twenty-six million, two hundred thousand, nine hundred sixty".