165461788800 has 3456 divisors, whose sum is σ = 862960392000. Its totient is φ = 30656102400.

The previous prime is 165461788787. The next prime is 165461788853. The reversal of 165461788800 is 8887164561.

It is a happy number.

165461788800 is a `hidden beast` number, since 1 + 6 + 546 + 17 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

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, 8708515191 + ... + 8708515209.

Almost surely, 2^165461788800 is an apocalyptic number.

165461788800 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 165461788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431480196000).

165461788800 is an abundant number, since it is smaller than the sum of its proper divisors (697498603200).

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

165461788800 is a wasteful number, since it uses less digits than its factorization.

165461788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 165461788800 in words is "one hundred sixty-five billion, four hundred sixty-one million, seven hundred eighty-eight thousand, eight hundred".