189835040747520 has 4992 divisors, whose sum is σ = 855460092764160. Its totient is φ = 37975983390720.

The previous prime is 189835040747519. The next prime is 189835040747579. The reversal of 189835040747520 is 25747040538981.

189835040747520 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 3 + 504 + 0 + 74 + 7 + 52 + 0 = 666.

It is a super-2 number, since 2×189835040747520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2600480010204 + ... + 2600480010276.

It is an arithmetic number, because the mean of its divisors is an integer number (171366204480).

Almost surely, 2^{189835040747520} is an apocalyptic number.

189835040747520 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 189835040747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427730046382080).

189835040747520 is an abundant number, since it is smaller than the sum of its proper divisors (665625052016640).

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

189835040747520 is a wasteful number, since it uses less digits than its factorization.

189835040747520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 189835040747520 in words is "one hundred eighty-nine trillion, eight hundred thirty-five billion, forty million, seven hundred forty-seven thousand, five hundred twenty".