20176128000 has 960 divisors, whose sum is σ = 86572886400. Its totient is φ = 4578508800.

The previous prime is 20176127981. The next prime is 20176128029. The reversal of 20176128000 is 82167102.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×20176128000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145151931 + ... + 145152069.

It is an arithmetic number, because the mean of its divisors is an integer number (90180090).

Almost surely, 2^20176128000 is an apocalyptic number.

20176128000 is a gapful number since it is divisible by the number (20) 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 20176128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43286443200).

20176128000 is an abundant number, since it is smaller than the sum of its proper divisors (66396758400).

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

20176128000 is an equidigital number, since it uses as much as digits as its factorization.

20176128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 20176128000 in words is "twenty billion, one hundred seventy-six million, one hundred twenty-eight thousand".