11717767661600 has 1152 divisors, whose sum is σ = 40481209036800. Its totient is φ = 3192330240000.

The previous prime is 11717767661591. The next prime is 11717767661773. The reversal of 11717767661600 is 616676771711.

It is a super-2 number, since 2×11717767661600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1860255251 + ... + 1860261549.

It is an arithmetic number, because the mean of its divisors is an integer number (35139938400).

Almost surely, 2^{11717767661600} is an apocalyptic number.

11717767661600 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 11717767661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20240604518400).

11717767661600 is an abundant number, since it is smaller than the sum of its proper divisors (28763441375200).

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

11717767661600 is a wasteful number, since it uses less digits than its factorization.

11717767661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 56.

The spelling of 11717767661600 in words is "eleven trillion, seven hundred seventeen billion, seven hundred sixty-seven million, six hundred sixty-one thousand, six hundred".