195981252516 has 432 divisors, whose sum is σ = 628728906624. Its totient is φ = 52273009152.

The previous prime is 195981252487. The next prime is 195981252517. The reversal of 195981252516 is 615252189591.

195981252516 is a `hidden beast` number, since 1 + 9 + 5 + 98 + 12 + 525 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (195981252517) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179305266 + ... + 179306358.

Almost surely, 2^195981252516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195981252516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314364453312).

195981252516 is an abundant number, since it is smaller than the sum of its proper divisors (432747654108).

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

195981252516 is a wasteful number, since it uses less digits than its factorization.

195981252516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1197 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 54.

The spelling of 195981252516 in words is "one hundred ninety-five billion, nine hundred eighty-one million, two hundred fifty-two thousand, five hundred sixteen".