2158836261120 has 2592 divisors, whose sum is σ = 10015288657920. Its totient is φ = 440193761280.

The previous prime is 2158836261053. The next prime is 2158836261139. The reversal of 2158836261120 is 211626388512.

2158836261120 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 8 + 3 + 6 + 2 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 13244394159 + ... + 13244394321.

Almost surely, 2^{2158836261120} is an apocalyptic number.

2158836261120 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 2158836261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007644328960).

2158836261120 is an abundant number, since it is smaller than the sum of its proper divisors (7856452396800).

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

2158836261120 is a wasteful number, since it uses less digits than its factorization.

2158836261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2158836261120 in words is "two trillion, one hundred fifty-eight billion, eight hundred thirty-six million, two hundred sixty-one thousand, one hundred twenty".