961904885760 has 1920 divisors, whose sum is σ = 4333422643200. Its totient is φ = 199511506944.

The previous prime is 961904885731. The next prime is 961904885789. The reversal of 961904885760 is 67588409169.

961904885760 is a `hidden beast` number, since 9 + 6 + 1 + 90 + 488 + 5 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (961904885731) and next prime (961904885789).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×961904885760² (a number of 25 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16303472611 + ... + 16303472669.

It is an arithmetic number, because the mean of its divisors is an integer number (2256990960).

Almost surely, 2^961904885760 is an apocalyptic number.

961904885760 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 961904885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166711321600).

961904885760 is an abundant number, since it is smaller than the sum of its proper divisors (3371517757440).

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

961904885760 is an frugal number, since it uses more digits than its factorization.

961904885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 961904885760 in words is "nine hundred sixty-one billion, nine hundred four million, eight hundred eighty-five thousand, seven hundred sixty".