961585954560 has 2592 divisors, whose sum is σ = 4586009186304. Its totient is φ = 181990195200.

The previous prime is 961585954559. The next prime is 961585954573. The reversal of 961585954560 is 65459585169.

961585954560 is a `hidden beast` number, since 9 + 6 + 1 + 5 + 85 + 9 + 545 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31018901745 + ... + 31018901775.

Almost surely, 2^961585954560 is an apocalyptic number.

961585954560 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 961585954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293004593152).

961585954560 is an abundant number, since it is smaller than the sum of its proper divisors (3624423231744).

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

961585954560 is a wasteful number, since it uses less digits than its factorization.

961585954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 961585954560 in words is "nine hundred sixty-one billion, five hundred eighty-five million, nine hundred fifty-four thousand, five hundred sixty".