165252793680 has 640 divisors, whose sum is σ = 636292608000. Its totient is φ = 39146250240.

The previous prime is 165252793609. The next prime is 165252793687. The reversal of 165252793680 is 86397252561.

165252793680 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 5 + 279 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165252793687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199339506 + ... + 199340334.

It is an arithmetic number, because the mean of its divisors is an integer number (994207200).

Almost surely, 2^165252793680 is an apocalyptic number.

165252793680 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 165252793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318146304000).

165252793680 is an abundant number, since it is smaller than the sum of its proper divisors (471039814320).

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

165252793680 is a wasteful number, since it uses less digits than its factorization.

165252793680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 165252793680 in words is "one hundred sixty-five billion, two hundred fifty-two million, seven hundred ninety-three thousand, six hundred eighty".