165792468441600 has 4320 divisors, whose sum is σ = 830530346405760. Its totient is φ = 30696977203200.

The previous prime is 165792468441533. The next prime is 165792468441637. The reversal of 165792468441600 is 6144864297561.

165792468441600 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 9 + 2 + 468 + 4 + 4 + 160 + 0 = 666.

It is a super-2 number, since 2×165792468441600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 36785546547 + ... + 36785551053.

Almost surely, 2^{165792468441600} is an apocalyptic number.

165792468441600 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 165792468441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415265173202880).

165792468441600 is an abundant number, since it is smaller than the sum of its proper divisors (664737877964160).

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

165792468441600 is a wasteful number, since it uses less digits than its factorization.

165792468441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 165792468441600 in words is "one hundred sixty-five trillion, seven hundred ninety-two billion, four hundred sixty-eight million, four hundred forty-one thousand, six hundred".