961267507200 has 2016 divisors, whose sum is σ = 4631996783232. Its totient is φ = 184025088000.

The previous prime is 961267507169. The next prime is 961267507241. The reversal of 961267507200 is 2705762169.

961267507200 is a `hidden beast` number, since 9 + 61 + 2 + 67 + 507 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1845042940 + ... + 1845043460.

It is an arithmetic number, because the mean of its divisors is an integer number (2297617452).

Almost surely, 2^961267507200 is an apocalyptic number.

961267507200 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 961267507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315998391616).

961267507200 is an abundant number, since it is smaller than the sum of its proper divisors (3670729276032).

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

961267507200 is a wasteful number, since it uses less digits than its factorization.

961267507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 961267507200 in words is "nine hundred sixty-one billion, two hundred sixty-seven million, five hundred seven thousand, two hundred".