195312599040 has 480 divisors, whose sum is σ = 680268085056. Its totient is φ = 47563407360.

The previous prime is 195312599039. The next prime is 195312599077. The reversal of 195312599040 is 40995213591.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×195312599040² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361021170 + ... + 361021710.

Almost surely, 2^195312599040 is an apocalyptic number.

195312599040 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 195312599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340134042528).

195312599040 is an abundant number, since it is smaller than the sum of its proper divisors (484955486016).

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

195312599040 is a wasteful number, since it uses less digits than its factorization.

195312599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 195312599040 in words is "one hundred ninety-five billion, three hundred twelve million, five hundred ninety-nine thousand, forty".