11117868460800 has 216 divisors, whose sum is σ = 38849593998096. Its totient is φ = 2790366904320.

The previous prime is 11117868460739. The next prime is 11117868460823. The reversal of 11117868460800 is 806486871111.

It is a super-2 number, since 2×11117868460800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16704649 + ... + 17357448.

Almost surely, 2^{11117868460800} is an apocalyptic number.

11117868460800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11117868460800 is an abundant number, since it is smaller than the sum of its proper divisors (27731725537296).

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

11117868460800 is a wasteful number, since it uses less digits than its factorization.

11117868460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34062143 (or 34062124 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 11117868460800 in words is "eleven trillion, one hundred seventeen billion, eight hundred sixty-eight million, four hundred sixty thousand, eight hundred".