195504008400 has 240 divisors, whose sum is σ = 697263160000. Its totient is φ = 52028490240.

The previous prime is 195504008389. The next prime is 195504008419. The reversal of 195504008400 is 4800405591.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 5371062 + ... + 5407338.

Almost surely, 2^195504008400 is an apocalyptic number.

195504008400 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 195504008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348631580000).

195504008400 is an abundant number, since it is smaller than the sum of its proper divisors (501759151600).

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

195504008400 is a wasteful number, since it uses less digits than its factorization.

195504008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36803 (or 36786 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 195504008400 in words is "one hundred ninety-five billion, five hundred four million, eight thousand, four hundred".