11117568000 has 896 divisors, whose sum is σ = 47107547136. Its totient is φ = 2260992000.

The previous prime is 11117567987. The next prime is 11117568001. The reversal of 11117568000 is 86571111.

It is a tau number, because it is divible by the number of its divisors (896).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11117568001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236543977 + ... + 236544023.

Almost surely, 2^11117568000 is an apocalyptic number.

11117568000 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 11117568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23553773568).

11117568000 is an abundant number, since it is smaller than the sum of its proper divisors (35989979136).

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

11117568000 is an equidigital number, since it uses as much as digits as its factorization.

11117568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 30.

It can be divided in two parts, 1111756 and 8000, that added together give a triangular number (1119756 = T₁₄₉₆).

The spelling of 11117568000 in words is "eleven billion, one hundred seventeen million, five hundred sixty-eight thousand".