2157092791200 has 360 divisors, whose sum is σ = 7906476226572. Its totient is φ = 572301434880.

The previous prime is 2157092791193. The next prime is 2157092791297. The reversal of 2157092791200 is 21972907512.

2157092791200 is a `hidden beast` number, since 2 + 1 + 570 + 9 + 2 + 79 + 1 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1269434862864 + 887657928336 = 1126692^2 + 942156^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12681112 + ... + 12850088.

Almost surely, 2^{2157092791200} is an apocalyptic number.

2157092791200 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 2157092791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953238113286).

2157092791200 is an abundant number, since it is smaller than the sum of its proper divisors (5749383435372).

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

2157092791200 is a wasteful number, since it uses less digits than its factorization.

2157092791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169206 (or 169184 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 2157092791200 in words is "two trillion, one hundred fifty-seven billion, ninety-two million, seven hundred ninety-one thousand, two hundred".