126925822920960 has 1440 divisors, whose sum is σ = 534015126957312. Its totient is φ = 28181000355840.

The previous prime is 126925822920931. The next prime is 126925822920973. The reversal of 126925822920960 is 69029228529621.

126925822920960 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 2 + 582 + 29 + 20 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×126925822920960² (a number of 29 digits) contains 22 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 159 ways as a sum of consecutive naturals, for example, 6933176127 + ... + 6933194433.

Almost surely, 2^{126925822920960} is an apocalyptic number.

126925822920960 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 126925822920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267007563478656).

126925822920960 is an abundant number, since it is smaller than the sum of its proper divisors (407089304036352).

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

126925822920960 is a wasteful number, since it uses less digits than its factorization.

126925822920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18621 (or 18598 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 126925822920960 in words is "one hundred twenty-six trillion, nine hundred twenty-five billion, eight hundred twenty-two million, nine hundred twenty thousand, nine hundred sixty".