2165164371552 has 384 divisors, whose sum is σ = 7094362060800. Its totient is φ = 562970935296.

The previous prime is 2165164371541. The next prime is 2165164371577. The reversal of 2165164371552 is 2551734615612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279120058 + ... + 279127814.

It is an arithmetic number, because the mean of its divisors is an integer number (18474901200).

Almost surely, 2^{2165164371552} 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 2165164371552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547181030400).

2165164371552 is an abundant number, since it is smaller than the sum of its proper divisors (4929197689248).

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

2165164371552 is a wasteful number, since it uses less digits than its factorization.

2165164371552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8230 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The spelling of 2165164371552 in words is "two trillion, one hundred sixty-five billion, one hundred sixty-four million, three hundred seventy-one thousand, five hundred fifty-two".