195901056000 has 1056 divisors, whose sum is σ = 773672460288. Its totient is φ = 47377612800.

The previous prime is 195901055969. The next prime is 195901056011. The reversal of 195901056000 is 650109591.

195901056000 is a `hidden beast` number, since 1 + 9 + 5 + 90 + 1 + 0 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1542527937 + ... + 1542528063.

Almost surely, 2^195901056000 is an apocalyptic number.

195901056000 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 195901056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386836230144).

195901056000 is an abundant number, since it is smaller than the sum of its proper divisors (577771404288).

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

195901056000 is a wasteful number, since it uses less digits than its factorization.

195901056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 195901056000 in words is "one hundred ninety-five billion, nine hundred one million, fifty-six thousand".