2133707705856 has 160 divisors (see below), whose sum is σ = 6318440013600. Its totient is φ = 710952468480.

The previous prime is 2133707705837. The next prime is 2133707705929. The reversal of 2133707705856 is 6585077073312.

It is a happy number.

2133707705856 is a `hidden beast` number, since 21 + 3 + 37 + 0 + 7 + 7 + 0 + 585 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36203260 + ... + 36262148.

It is an arithmetic number, because the mean of its divisors is an integer number (39490250085).

Almost surely, 2^{2133707705856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133707705856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159220006800).

2133707705856 is an abundant number, since it is smaller than the sum of its proper divisors (4184732307744).

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

2133707705856 is an equidigital number, since it uses as much as digits as its factorization.

2133707705856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61537 (or 61515 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 2133707705856 in words is "two trillion, one hundred thirty-three billion, seven hundred seven million, seven hundred five thousand, eight hundred fifty-six".