961953148800 has 480 divisors, whose sum is σ = 4056943263120. Its totient is φ = 219874590720.

The previous prime is 961953148771. The next prime is 961953148841. The reversal of 961953148800 is 8841359169.

961953148800 is a `hidden beast` number, since 9 + 61 + 9 + 531 + 48 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1549312 + ... + 2079488.

Almost surely, 2^961953148800 is an apocalyptic number.

961953148800 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 961953148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028471631560).

961953148800 is an abundant number, since it is smaller than the sum of its proper divisors (3094990114320).

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

961953148800 is a wasteful number, since it uses less digits than its factorization.

961953148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530220 (or 530194 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 961953148800 in words is "nine hundred sixty-one billion, nine hundred fifty-three million, one hundred forty-eight thousand, eight hundred".