165537096076800 has 1080 divisors, whose sum is σ = 714655887361416. Its totient is φ = 37837015695360.

The previous prime is 165537096076711. The next prime is 165537096076819. The reversal of 165537096076800 is 8670690735561.

165537096076800 is a `hidden beast` number, since 1 + 6 + 5 + 537 + 0 + 96 + 0 + 7 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 151866534 + ... + 152952666.

Almost surely, 2^{165537096076800} is an apocalyptic number.

165537096076800 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 165537096076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357327943680708).

165537096076800 is an abundant number, since it is smaller than the sum of its proper divisors (549118791284616).

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

165537096076800 is an equidigital number, since it uses as much as digits as its factorization.

165537096076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086190 (or 1086150 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 165537096076800 in words is "one hundred sixty-five trillion, five hundred thirty-seven billion, ninety-six million, seventy-six thousand, eight hundred".