2152116164160 has 672 divisors, whose sum is σ = 8317352115072. Its totient is φ = 527563653120.

The previous prime is 2152116164147. The next prime is 2152116164167. The reversal of 2152116164160 is 614616112512.

2152116164160 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 1 + 1 + 6 + 1 + 641 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2152116164167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56823630 + ... + 56861490.

It is an arithmetic number, because the mean of its divisors is an integer number (12377012076).

Almost surely, 2^{2152116164160} is an apocalyptic number.

2152116164160 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 2152116164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158676057536).

2152116164160 is an abundant number, since it is smaller than the sum of its proper divisors (6165235950912).

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

2152116164160 is a wasteful number, since it uses less digits than its factorization.

2152116164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37953 (or 37931 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2152116164160 in words is "two trillion, one hundred fifty-two billion, one hundred sixteen million, one hundred sixty-four thousand, one hundred sixty".