191875295040 has 672 divisors, whose sum is σ = 733303982208. Its totient is φ = 42212966400.

The previous prime is 191875295023. The next prime is 191875295047. The reversal of 191875295040 is 40592578191.

It is a super-2 number, since 2×191875295040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191875295047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92113839 + ... + 92115921.

It is an arithmetic number, because the mean of its divisors is an integer number (1091226164).

Almost surely, 2^191875295040 is an apocalyptic number.

191875295040 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 191875295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366651991104).

191875295040 is an abundant number, since it is smaller than the sum of its proper divisors (541428687168).

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

191875295040 is a wasteful number, since it uses less digits than its factorization.

191875295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 191875295040 in words is "one hundred ninety-one billion, eight hundred seventy-five million, two hundred ninety-five thousand, forty".