11457816960 has 128 divisors (see below), whose sum is σ = 36578187360. Its totient is φ = 3050700800.

The previous prime is 11457816941. The next prime is 11457816967. The reversal of 11457816960 is 6961875411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11457816967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341664 + ... + 1350176.

Almost surely, 2^11457816960 is an apocalyptic number.

11457816960 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 11457816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289093680).

11457816960 is an abundant number, since it is smaller than the sum of its proper divisors (25120370400).

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

11457816960 is an equidigital number, since it uses as much as digits as its factorization.

11457816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9224 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 11457816960 in words is "eleven billion, four hundred fifty-seven million, eight hundred sixteen thousand, nine hundred sixty".