11331906696960 has 576 divisors, whose sum is σ = 40741014279168. Its totient is φ = 2669082836992.

The previous prime is 11331906696953. The next prime is 11331906696989. The reversal of 11331906696960 is 6969660913311.

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 = 11331906696894 and 11331906696903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79505119 + ... + 79647521.

It is an arithmetic number, because the mean of its divisors is an integer number (70730927568).

Almost surely, 2^{11331906696960} is an apocalyptic number.

11331906696960 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 11331906696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20370507139584).

11331906696960 is an abundant number, since it is smaller than the sum of its proper divisors (29409107582208).

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

11331906696960 is a wasteful number, since it uses less digits than its factorization.

11331906696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142520 (or 142506 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 60.

The spelling of 11331906696960 in words is "eleven trillion, three hundred thirty-one billion, nine hundred six million, six hundred ninety-six thousand, nine hundred sixty".