11957432760 has 768 divisors, whose sum is σ = 50595840000. Its totient is φ = 2509678080.

The previous prime is 11957432731. The next prime is 11957432779. The reversal of 11957432760 is 6723475911.

11957432760 is a `hidden beast` number, since 1 + 1 + 9 + 574 + 3 + 2 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62604265 + ... + 62604455.

It is an arithmetic number, because the mean of its divisors is an integer number (65880000).

Almost surely, 2^11957432760 is an apocalyptic number.

11957432760 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 11957432760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297920000).

11957432760 is an abundant number, since it is smaller than the sum of its proper divisors (38638407240).

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

11957432760 is a wasteful number, since it uses less digits than its factorization.

11957432760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 11957432760 in words is "eleven billion, nine hundred fifty-seven million, four hundred thirty-two thousand, seven hundred sixty".