961820282880 has 624 divisors, whose sum is σ = 3482229214464. Its totient is φ = 254644715520.

The previous prime is 961820282851. The next prime is 961820282911. The reversal of 961820282880 is 88282028169.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781331865 + ... + 781333095.

It is an arithmetic number, because the mean of its divisors is an integer number (5580495536).

Almost surely, 2^961820282880 is an apocalyptic number.

961820282880 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 961820282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741114607232).

961820282880 is an abundant number, since it is smaller than the sum of its proper divisors (2520408931584).

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

961820282880 is a wasteful number, since it uses less digits than its factorization.

961820282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 961820282880 in words is "nine hundred sixty-one billion, eight hundred twenty million, two hundred eighty-two thousand, eight hundred eighty".