11431537920 has 648 divisors, whose sum is σ = 44529357600. Its totient is φ = 2704711680.

The previous prime is 11431537913. The next prime is 11431537933. The reversal of 11431537920 is 2973513411.

11431537920 is a `hidden beast` number, since 1 + 1 + 4 + 31 + 537 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82241211 + ... + 82241349.

Almost surely, 2^11431537920 is an apocalyptic number.

11431537920 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 11431537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264678800).

11431537920 is an abundant number, since it is smaller than the sum of its proper divisors (33097819680).

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

11431537920 is a wasteful number, since it uses less digits than its factorization.

11431537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11431537920 in words is "eleven billion, four hundred thirty-one million, five hundred thirty-seven thousand, nine hundred twenty".