189457937760 has 384 divisors, whose sum is σ = 735694009344. Its totient is φ = 39909335040.

The previous prime is 189457937759. The next prime is 189457937761. The reversal of 189457937760 is 67739754981.

It is an interprime number because it is at equal distance from previous prime (189457937759) and next prime (189457937761).

It is a junction number, because it is equal to n+sod(n) for n = 189457937691 and 189457937700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189457937761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30179742 + ... + 30186018.

It is an arithmetic number, because the mean of its divisors is an integer number (1915869816).

Almost surely, 2^189457937760 is an apocalyptic number.

189457937760 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 189457937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367847004672).

189457937760 is an abundant number, since it is smaller than the sum of its proper divisors (546236071584).

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

189457937760 is a wasteful number, since it uses less digits than its factorization.

189457937760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 189457937760 in words is "one hundred eighty-nine billion, four hundred fifty-seven million, nine hundred thirty-seven thousand, seven hundred sixty".