195910251264 has 1152 divisors, whose sum is σ = 762788096000. Its totient is φ = 48444604416.

The previous prime is 195910251263. The next prime is 195910251281. The reversal of 195910251264 is 462152019591.

195910251264 is a `hidden beast` number, since 1 + 9 + 591 + 0 + 2 + 51 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×195910251264² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (195910251263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2019693264 + ... + 2019693360.

Almost surely, 2^195910251264 is an apocalyptic number.

195910251264 is a gapful number since it is divisible by the number (14) 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 195910251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381394048000).

195910251264 is an abundant number, since it is smaller than the sum of its proper divisors (566877844736).

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

195910251264 is an equidigital number, since it uses as much as digits as its factorization.

195910251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 195910251264 in words is "one hundred ninety-five billion, nine hundred ten million, two hundred fifty-one thousand, two hundred sixty-four".