165157710480 has 1920 divisors, whose sum is σ = 748752076800. Its totient is φ = 33652039680.

The previous prime is 165157710469. The next prime is 165157710541. The reversal of 165157710480 is 84017751561.

165157710480 is a `hidden beast` number, since 1 + 6 + 5 + 157 + 7 + 10 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3513993817 + ... + 3513993863.

It is an arithmetic number, because the mean of its divisors is an integer number (389975040).

Almost surely, 2^165157710480 is an apocalyptic number.

165157710480 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 165157710480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374376038400).

165157710480 is an abundant number, since it is smaller than the sum of its proper divisors (583594366320).

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

165157710480 is a wasteful number, since it uses less digits than its factorization.

165157710480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 165157710480 in words is "one hundred sixty-five billion, one hundred fifty-seven million, seven hundred ten thousand, four hundred eighty".