2150079513120 has 576 divisors, whose sum is σ = 9486424636416. Its totient is φ = 446769146880.

The previous prime is 2150079513083. The next prime is 2150079513157. The reversal of 2150079513120 is 213159700512.

2150079513120 is a `hidden beast` number, since 2 + 1 + 50 + 0 + 79 + 513 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2150079513083) and next prime (2150079513157).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2634667 + ... + 3352853.

It is an arithmetic number, because the mean of its divisors is an integer number (16469487216).

Almost surely, 2^{2150079513120} is an apocalyptic number.

2150079513120 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 2150079513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743212318208).

2150079513120 is an abundant number, since it is smaller than the sum of its proper divisors (7336345123296).

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

2150079513120 is a wasteful number, since it uses less digits than its factorization.

2150079513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718235 (or 718215 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 2150079513120 in words is "two trillion, one hundred fifty billion, seventy-nine million, five hundred thirteen thousand, one hundred twenty".