189037954560000 has 3120 divisors, whose sum is σ = 835822018763424. Its totient is φ = 37522243584000.

The previous prime is 189037954559977. The next prime is 189037954560011. The reversal of 189037954560000 is 65459730981.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 83166718864 + ... + 83166721136.

Almost surely, 2^{189037954560000} is an apocalyptic number.

189037954560000 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 189037954560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417911009381712).

189037954560000 is an abundant number, since it is smaller than the sum of its proper divisors (646784064203424).

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

189037954560000 is a wasteful number, since it uses less digits than its factorization.

189037954560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 189037954560000 in words is "one hundred eighty-nine trillion, thirty-seven billion, nine hundred fifty-four million, five hundred sixty thousand".