165002772480 has 1536 divisors, whose sum is σ = 722952760320. Its totient is φ = 31708938240.

The previous prime is 165002772457. The next prime is 165002772523. The reversal of 165002772480 is 84277200561.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5322670065 + ... + 5322670095.

It is an arithmetic number, because the mean of its divisors is an integer number (470672370).

Almost surely, 2^165002772480 is an apocalyptic number.

165002772480 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 165002772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361476380160).

165002772480 is an abundant number, since it is smaller than the sum of its proper divisors (557949987840).

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

165002772480 is a wasteful number, since it uses less digits than its factorization.

165002772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 165002772480 in words is "one hundred sixty-five billion, two million, seven hundred seventy-two thousand, four hundred eighty".