962813010560 has 256 divisors, whose sum is σ = 2460975501600. Its totient is φ = 359533117440.

The previous prime is 962813010559. The next prime is 962813010569. The reversal of 962813010560 is 65010318269.

It can be written as a sum of positive squares in 16 ways, for example, as 158003070016 + 804809940544 = 397496^2 + 897112^2 .

It is a super-2 number, since 2×962813010560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (962813010569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85982882 + ... + 85994078.

Almost surely, 2^962813010560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962813010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230487750800).

962813010560 is an abundant number, since it is smaller than the sum of its proper divisors (1498162491040).

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

962813010560 is a wasteful number, since it uses less digits than its factorization.

962813010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 962813010560 in words is "nine hundred sixty-two billion, eight hundred thirteen million, ten thousand, five hundred sixty".