11713501800 has 1152 divisors, whose sum is σ = 54858988800. Its totient is φ = 2235340800.

The previous prime is 11713501799. The next prime is 11713501837. The reversal of 11713501800 is 810531711.

11713501800 is a `hidden beast` number, since 11 + 71 + 3 + 501 + 80 + 0 = 666.

It is a super-2 number, since 2×11713501800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59459302 + ... + 59459498.

It is an arithmetic number, because the mean of its divisors is an integer number (47620650).

Almost surely, 2^11713501800 is an apocalyptic number.

11713501800 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 11713501800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27429494400).

11713501800 is an abundant number, since it is smaller than the sum of its proper divisors (43145487000).

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

11713501800 is a wasteful number, since it uses less digits than its factorization.

11713501800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 11713501800 in words is "eleven billion, seven hundred thirteen million, five hundred one thousand, eight hundred".