189216530133120 has 1024 divisors, whose sum is σ = 785677511808000. Its totient is φ = 42134331064320.

The previous prime is 189216530133119. The next prime is 189216530133133. The reversal of 189216530133120 is 21331035612981.

189216530133120 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 1 + 6 + 5 + 301 + 331 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3516159334 + ... + 3516213146.

It is an arithmetic number, because the mean of its divisors is an integer number (767263195125).

Almost surely, 2^{189216530133120} is an apocalyptic number.

189216530133120 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 189216530133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392838755904000).

189216530133120 is an abundant number, since it is smaller than the sum of its proper divisors (596460981674880).

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

189216530133120 is a wasteful number, since it uses less digits than its factorization.

189216530133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54598 (or 54580 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 189216530133120 in words is "one hundred eighty-nine trillion, two hundred sixteen billion, five hundred thirty million, one hundred thirty-three thousand, one hundred twenty".