2160157710144 has 224 divisors, whose sum is σ = 6558079270912. Its totient is φ = 614718720000.

The previous prime is 2160157710091. The next prime is 2160157710209. The reversal of 2160157710144 is 4410177510612.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654393294 + ... + 654396594.

Almost surely, 2^{2160157710144} is an apocalyptic number.

2160157710144 is a gapful number since it is divisible by the number (24) 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 2160157710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279039635456).

2160157710144 is an abundant number, since it is smaller than the sum of its proper divisors (4397921560768).

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

2160157710144 is a wasteful number, since it uses less digits than its factorization.

2160157710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 2160157710144 in words is "two trillion, one hundred sixty billion, one hundred fifty-seven million, seven hundred ten thousand, one hundred forty-four".