11117206346400 has 1728 divisors, whose sum is σ = 50638171449600. Its totient is φ = 2304134553600.

The previous prime is 11117206346399. The next prime is 11117206346413. The reversal of 11117206346400 is 464360271111.

11117206346400 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 7 + 2 + 0 + 6 + 3 + 4 + 640 + 0 = 666.

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

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, 13410381186 + ... + 13410382014.

Almost surely, 2^{11117206346400} is an apocalyptic number.

11117206346400 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 11117206346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25319085724800).

11117206346400 is an abundant number, since it is smaller than the sum of its proper divisors (39520965103200).

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

11117206346400 is a wasteful number, since it uses less digits than its factorization.

11117206346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11117206346400 in words is "eleven trillion, one hundred seventeen billion, two hundred six million, three hundred forty-six thousand, four hundred".