11762131920 has 320 divisors, whose sum is σ = 47438106624. Its totient is φ = 2337730560.

The previous prime is 11762131907. The next prime is 11762131957. The reversal of 11762131920 is 2913126711.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 411204 + ... + 438876.

Almost surely, 2^11762131920 is an apocalyptic number.

11762131920 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 11762131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23719053312).

11762131920 is an abundant number, since it is smaller than the sum of its proper divisors (35675974704).

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

11762131920 is a wasteful number, since it uses less digits than its factorization.

11762131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27730 (or 27724 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 11762131920 in words is "eleven billion, seven hundred sixty-two million, one hundred thirty-one thousand, nine hundred twenty".