165851136000 has 768 divisors, whose sum is σ = 653892501600. Its totient is φ = 40108032000.

The previous prime is 165851135987. The next prime is 165851136013. The reversal of 165851136000 is 631158561.

165851136000 is a `hidden beast` number, since 1 + 6 + 585 + 1 + 13 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165851135987) and next prime (165851136013).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405503796 + ... + 405504204.

Almost surely, 2^165851136000 is an apocalyptic number.

165851136000 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 165851136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326946250800).

165851136000 is an abundant number, since it is smaller than the sum of its proper divisors (488041365600).

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

165851136000 is an equidigital number, since it uses as much as digits as its factorization.

165851136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 165851136000 in words is "one hundred sixty-five billion, eight hundred fifty-one million, one hundred thirty-six thousand".