11757731697920 has 288 divisors, whose sum is σ = 30537763681824. Its totient is φ = 4311613440000.

The previous prime is 11757731697913. The next prime is 11757731697937. The reversal of 11757731697920 is 2979613775711.

It can be written as a sum of positive squares in 16 ways, for example, as 3533317202944 + 8224414494976 = 1879712^2 + 2867824^2 .

It is a super-2 number, since 2×11757731697920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917936420 + ... + 3917939420.

It is an arithmetic number, because the mean of its divisors is an integer number (106033901673).

Almost surely, 2^{11757731697920} is an apocalyptic number.

11757731697920 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 11757731697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268881840912).

11757731697920 is an abundant number, since it is smaller than the sum of its proper divisors (18780031983904).

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

11757731697920 is a wasteful number, since it uses less digits than its factorization.

11757731697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 65.

The spelling of 11757731697920 in words is "eleven trillion, seven hundred fifty-seven billion, seven hundred thirty-one million, six hundred ninety-seven thousand, nine hundred twenty".