189958300492680 has 768 divisors, whose sum is σ = 712349744198400. Its totient is φ = 44855218298880.

The previous prime is 189958300492679. The next prime is 189958300492687. The reversal of 189958300492680 is 86294003859981.

189958300492680 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 58 + 3 + 0 + 0 + 492 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 189958300492599 and 189958300492608.

It is not an unprimeable number, because it can be changed into a prime (189958300492687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 592298527 + ... + 592619153.

It is an arithmetic number, because the mean of its divisors is an integer number (927538729425).

Almost surely, 2^{189958300492680} is an apocalyptic number.

189958300492680 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 189958300492680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356174872099200).

189958300492680 is an abundant number, since it is smaller than the sum of its proper divisors (522391443705720).

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

189958300492680 is a wasteful number, since it uses less digits than its factorization.

189958300492680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320771 (or 320738 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 189958300492680 in words is "one hundred eighty-nine trillion, nine hundred fifty-eight billion, three hundred million, four hundred ninety-two thousand, six hundred eighty".