2116292751360 has 1248 divisors, whose sum is σ = 7948913356800. Its totient is φ = 519564165120.

The previous prime is 2116292751359. The next prime is 2116292751409. The reversal of 2116292751360 is 631572926112.

2116292751360 is a `hidden beast` number, since 2 + 1 + 1 + 629 + 2 + 7 + 5 + 13 + 6 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23778570196 + ... + 23778570284.

It is an arithmetic number, because the mean of its divisors is an integer number (6369321600).

Almost surely, 2^{2116292751360} is an apocalyptic number.

2116292751360 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 2116292751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974456678400).

2116292751360 is an abundant number, since it is smaller than the sum of its proper divisors (5832620605440).

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

2116292751360 is a wasteful number, since it uses less digits than its factorization.

2116292751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2116292751360 in words is "two trillion, one hundred sixteen billion, two hundred ninety-two million, seven hundred fifty-one thousand, three hundred sixty".