961898263200 has 540 divisors, whose sum is σ = 4080580572222. Its totient is φ = 219861734400.

The previous prime is 961898263199. The next prime is 961898263301. The reversal of 961898263200 is 2362898169.

961898263200 is a `hidden beast` number, since 96 + 1 + 8 + 98 + 263 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 931047448464 + 30850814736 = 964908^2 + 175644^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3023730 + ... + 3326670.

Almost surely, 2^961898263200 is an apocalyptic number.

961898263200 is a gapful number since it is divisible by the number (90) 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 961898263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040290286111).

961898263200 is an abundant number, since it is smaller than the sum of its proper divisors (3118682309022).

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

961898263200 is a wasteful number, since it uses less digits than its factorization.

961898263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302987 (or 302958 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 961898263200 in words is "nine hundred sixty-one billion, eight hundred ninety-eight million, two hundred sixty-three thousand, two hundred".