165561151101580 has 384 divisors, whose sum is σ = 417606458572800. Its totient is φ = 54541648567296.

The previous prime is 165561151101529. The next prime is 165561151101581. The reversal of 165561151101580 is 85101151165561.

165561151101580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 165561151101580.

It is not an unprimeable number, because it can be changed into a prime (165561151101581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21337945741 + ... + 21337953499.

It is an arithmetic number, because the mean of its divisors is an integer number (1087516819200).

Almost surely, 2^{165561151101580} is an apocalyptic number.

165561151101580 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 165561151101580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208803229286400).

165561151101580 is an abundant number, since it is smaller than the sum of its proper divisors (252045307471220).

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

165561151101580 is a wasteful number, since it uses less digits than its factorization.

165561151101580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10693 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 46.

The spelling of 165561151101580 in words is "one hundred sixty-five trillion, five hundred sixty-one billion, one hundred fifty-one million, one hundred one thousand, five hundred eighty".