11487756800 has 480 divisors, whose sum is σ = 33756839424. Its totient is φ = 3833856000.

The previous prime is 11487756799. The next prime is 11487756853. The reversal of 11487756800 is 865778411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87692735 + ... + 87692865.

Almost surely, 2^11487756800 is an apocalyptic number.

11487756800 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 11487756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878419712).

11487756800 is an abundant number, since it is smaller than the sum of its proper divisors (22269082624).

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

11487756800 is a wasteful number, since it uses less digits than its factorization.

11487756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 47.

The spelling of 11487756800 in words is "eleven billion, four hundred eighty-seven million, seven hundred fifty-six thousand, eight hundred".