191581800960 has 640 divisors, whose sum is σ = 713716033536. Its totient is φ = 43372707840.

The previous prime is 191581800941. The next prime is 191581801001. The reversal of 191581800960 is 69008185191.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83549574 + ... + 83551866.

Almost surely, 2^191581800960 is an apocalyptic number.

191581800960 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 191581800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356858016768).

191581800960 is an abundant number, since it is smaller than the sum of its proper divisors (522134232576).

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

191581800960 is a wasteful number, since it uses less digits than its factorization.

191581800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The spelling of 191581800960 in words is "one hundred ninety-one billion, five hundred eighty-one million, eight hundred thousand, nine hundred sixty".