195720873600 has 384 divisors, whose sum is σ = 768787937280. Its totient is φ = 42790809600.

The previous prime is 195720873587. The next prime is 195720873631. The reversal of 195720873600 is 6378027591.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 195720873600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1482285 + ... + 1608915.

It is an arithmetic number, because the mean of its divisors is an integer number (2002051920).

Almost surely, 2^195720873600 is an apocalyptic number.

195720873600 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 195720873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384393968640).

195720873600 is an abundant number, since it is smaller than the sum of its proper divisors (573067063680).

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

195720873600 is a wasteful number, since it uses less digits than its factorization.

195720873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126688 (or 126671 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 195720873600 in words is "one hundred ninety-five billion, seven hundred twenty million, eight hundred seventy-three thousand, six hundred".