962049138960 has 1280 divisors, whose sum is σ = 3969605928960. Its totient is φ = 187280916480.

The previous prime is 962049138949. The next prime is 962049138979. The reversal of 962049138960 is 69831940269.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 962049138960.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1429493184 + ... + 1429493856.

It is an arithmetic number, because the mean of its divisors is an integer number (3101254632).

Almost surely, 2^962049138960 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 962049138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984802964480).

962049138960 is an abundant number, since it is smaller than the sum of its proper divisors (3007556790000).

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

962049138960 is a wasteful number, since it uses less digits than its factorization.

962049138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 962049138960 in words is "nine hundred sixty-two billion, forty-nine million, one hundred thirty-eight thousand, nine hundred sixty".