165552266880 has 2048 divisors, whose sum is σ = 835030425600. Its totient is φ = 29833297920.

The previous prime is 165552266849. The next prime is 165552266951. The reversal of 165552266880 is 88662255561.

It is a happy number.

165552266880 is a `hidden beast` number, since 1 + 6 + 5 + 552 + 2 + 6 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 294053479 + ... + 294054041.

It is an arithmetic number, because the mean of its divisors is an integer number (407729700).

Almost surely, 2^165552266880 is an apocalyptic number.

165552266880 is a gapful number since it is divisible by the number (10) 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 165552266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417515212800).

165552266880 is an abundant number, since it is smaller than the sum of its proper divisors (669478158720).

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

165552266880 is a wasteful number, since it uses less digits than its factorization.

165552266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 165552266880 in words is "one hundred sixty-five billion, five hundred fifty-two million, two hundred sixty-six thousand, eight hundred eighty".