11735264000 has 72 divisors (see below), whose sum is σ = 29234089248. Its totient is φ = 4694092800.

The previous prime is 11735263973. The next prime is 11735264003. The reversal of 11735264000 is 46253711.

It is a super-2 number, since 2×11735264000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11735264003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151364 + ... + 215363.

Almost surely, 2^11735264000 is an apocalyptic number.

11735264000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11735264000 is an abundant number, since it is smaller than the sum of its proper divisors (17498825248).

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

11735264000 is an frugal number, since it uses more digits than its factorization.

11735264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366758 (or 366734 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 11735264000 in words is "eleven billion, seven hundred thirty-five million, two hundred sixty-four thousand".