11460556800 has 1728 divisors, whose sum is σ = 57033849600. Its totient is φ = 2123366400.

The previous prime is 11460556769. The next prime is 11460556843. The reversal of 11460556800 is 865506411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 603187191 + ... + 603187209.

It is an arithmetic number, because the mean of its divisors is an integer number (33005700).

Almost surely, 2^11460556800 is an apocalyptic number.

11460556800 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 11460556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28516924800).

11460556800 is an abundant number, since it is smaller than the sum of its proper divisors (45573292800).

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

11460556800 is a wasteful number, since it uses less digits than its factorization.

11460556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 114605 and 56800, that added together give a triangular number (171405 = T₅₈₅).

The spelling of 11460556800 in words is "eleven billion, four hundred sixty million, five hundred fifty-six thousand, eight hundred".