189640805828400 has 840 divisors, whose sum is σ = 719819440482240. Its totient is φ = 47858558400000.

The previous prime is 189640805828399. The next prime is 189640805828401. The reversal of 189640805828400 is 4828508046981.

189640805828400 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 4 + 0 + 8 + 0 + 582 + 8 + 40 + 0 = 666.

189640805828400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189640805828399) and next prime (189640805828401).

It is a super-2 number, since 2×189640805828400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189640805828401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5379710775 + ... + 5379746025.

It is an arithmetic number, because the mean of its divisors is an integer number (856927905336).

Almost surely, 2^{189640805828400} is an apocalyptic number.

189640805828400 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 189640805828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359909720241120).

189640805828400 is an abundant number, since it is smaller than the sum of its proper divisors (530178634653840).

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

189640805828400 is a wasteful number, since it uses less digits than its factorization.

189640805828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36277 (or 36251 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 189640805828400 in words is "one hundred eighty-nine trillion, six hundred forty billion, eight hundred five million, eight hundred twenty-eight thousand, four hundred".