2116095710400 has 1680 divisors, whose sum is σ = 9261683523840. Its totient is φ = 465589555200.

The previous prime is 2116095710387. The next prime is 2116095710441. The reversal of 2116095710400 is 40175906112.

2116095710400 is a `hidden beast` number, since 2 + 1 + 1 + 609 + 5 + 7 + 1 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×2116095710400² (a number of 25 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 6393038235 + ... + 6393038565.

Almost surely, 2^{2116095710400} is an apocalyptic number.

2116095710400 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 2116095710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630841761920).

2116095710400 is an abundant number, since it is smaller than the sum of its proper divisors (7145587813440).

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

2116095710400 is an frugal number, since it uses more digits than its factorization.

2116095710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 2116095710400 in words is "two trillion, one hundred sixteen billion, ninety-five million, seven hundred ten thousand, four hundred".