195792791040 has 1440 divisors, whose sum is σ = 869384355840. Its totient is φ = 39852933120.

The previous prime is 195792791039. The next prime is 195792791063. The reversal of 195792791040 is 40197297591.

195792791040 is a `hidden beast` number, since 1 + 9 + 579 + 27 + 9 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1541675457 + ... + 1541675583.

It is an arithmetic number, because the mean of its divisors is an integer number (603739136).

Almost surely, 2^195792791040 is an apocalyptic number.

195792791040 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 195792791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434692177920).

195792791040 is an abundant number, since it is smaller than the sum of its proper divisors (673591564800).

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

195792791040 is a wasteful number, since it uses less digits than its factorization.

195792791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 195792791040 in words is "one hundred ninety-five billion, seven hundred ninety-two million, seven hundred ninety-one thousand, forty".