126961762959360 has 960 divisors, whose sum is σ = 509948899574400. Its totient is φ = 28619581685760.

The previous prime is 126961762959331. The next prime is 126961762959371. The reversal of 126961762959360 is 63959267169621.

126961762959360 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 6 + 1 + 7 + 6 + 29 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×126961762959360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12055997295 + ... + 12056007825.

It is an arithmetic number, because the mean of its divisors is an integer number (531196770390).

Almost surely, 2^{126961762959360} is an apocalyptic number.

126961762959360 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 126961762959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254974449787200).

126961762959360 is an abundant number, since it is smaller than the sum of its proper divisors (382987136615040).

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

126961762959360 is an frugal number, since it uses more digits than its factorization.

126961762959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 126961762959360 in words is "one hundred twenty-six trillion, nine hundred sixty-one billion, seven hundred sixty-two million, nine hundred fifty-nine thousand, three hundred sixty".