11757893280 has 384 divisors, whose sum is σ = 44033310720. Its totient is φ = 2580664320.

The previous prime is 11757893261. The next prime is 11757893333. The reversal of 11757893280 is 8239875711.

11757893280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16352761 + ... + 16353479.

It is an arithmetic number, because the mean of its divisors is an integer number (114670080).

Almost surely, 2^11757893280 is an apocalyptic number.

11757893280 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 11757893280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016655360).

11757893280 is an abundant number, since it is smaller than the sum of its proper divisors (32275417440).

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

11757893280 is a wasteful number, since it uses less digits than its factorization.

11757893280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 11757893280 in words is "eleven billion, seven hundred fifty-seven million, eight hundred ninety-three thousand, two hundred eighty".