179940483340800 has 1920 divisors, whose sum is σ = 746185729056768. Its totient is φ = 37214650368000.

The previous prime is 179940483340781. The next prime is 179940483340817. The reversal of 179940483340800 is 8043384049971.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44906532397 + ... + 44906536403.

Almost surely, 2^{179940483340800} is an apocalyptic number.

179940483340800 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 179940483340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373092864528384).

179940483340800 is an abundant number, since it is smaller than the sum of its proper divisors (566245245715968).

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

179940483340800 is a wasteful number, since it uses less digits than its factorization.

179940483340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 179940483340800 in words is "one hundred seventy-nine trillion, nine hundred forty billion, four hundred eighty-three million, three hundred forty thousand, eight hundred".