11761197264960 has 1792 divisors, whose sum is σ = 46713607815168. Its totient is φ = 2467816243200.

The previous prime is 11761197264937. The next prime is 11761197264979. The reversal of 11761197264960 is 6946279116711.

It is a happy number.

It is a super-2 number, since 2×11761197264960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 11761197264894 and 11761197264903.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25402153689 + ... + 25402154151.

It is an arithmetic number, because the mean of its divisors is an integer number (26067861504).

Almost surely, 2^{11761197264960} is an apocalyptic number.

11761197264960 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 11761197264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23356803907584).

11761197264960 is an abundant number, since it is smaller than the sum of its proper divisors (34952410550208).

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

11761197264960 is a wasteful number, since it uses less digits than its factorization.

11761197264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 11761197264960 in words is "eleven trillion, seven hundred sixty-one billion, one hundred ninety-seven million, two hundred sixty-four thousand, nine hundred sixty".