165415984493760 has 8064 divisors, whose sum is σ = 854801134387200. Its totient is φ = 28759325736960.

The previous prime is 165415984493687. The next prime is 165415984493797. The reversal of 165415984493760 is 67394489514561.

165415984493760 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 1 + 5 + 98 + 449 + 37 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1302488066817 + ... + 1302488066943.

It is an arithmetic number, because the mean of its divisors is an integer number (106002124800).

Almost surely, 2^{165415984493760} is an apocalyptic number.

165415984493760 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 165415984493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427400567193600).

165415984493760 is an abundant number, since it is smaller than the sum of its proper divisors (689385149893440).

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

165415984493760 is a wasteful number, since it uses less digits than its factorization.

165415984493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 165415984493760 in words is "one hundred sixty-five trillion, four hundred fifteen billion, nine hundred eighty-four million, four hundred ninety-three thousand, seven hundred sixty".