2116777118400 has 504 divisors, whose sum is σ = 8602088118624. Its totient is φ = 483622502400.

The previous prime is 2116777118359. The next prime is 2116777118431. The reversal of 2116777118400 is 48117776112.

2116777118400 is a `hidden beast` number, since 2 + 1 + 1 + 67 + 77 + 118 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 416603860 + ... + 416608940.

It is an arithmetic number, because the mean of its divisors is an integer number (17067635156).

Almost surely, 2^{2116777118400} is an apocalyptic number.

2116777118400 is a gapful number since it is divisible by the number (20) 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 2116777118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301044059312).

2116777118400 is an abundant number, since it is smaller than the sum of its proper divisors (6485311000224).

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

2116777118400 is a wasteful number, since it uses less digits than its factorization.

2116777118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 2116777118400 in words is "two trillion, one hundred sixteen billion, seven hundred seventy-seven million, one hundred eighteen thousand, four hundred".