96442580520 has 576 divisors, whose sum is σ = 376268714640. Its totient is φ = 21276794880.

The previous prime is 96442580513. The next prime is 96442580527. The reversal of 96442580520 is 2508524469.

96442580520 is a `hidden beast` number, since 9 + 6 + 4 + 42 + 5 + 80 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (96442580513) and next prime (96442580527).

It can be written as a sum of positive squares in 8 ways, for example, as 20004707844 + 76437872676 = 141438^2 + 276474^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (96442580527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41337274 + ... + 41339606.

Almost surely, 2^96442580520 is an apocalyptic number.

96442580520 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 96442580520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188134357320).

96442580520 is an abundant number, since it is smaller than the sum of its proper divisors (279826134120).

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

96442580520 is a wasteful number, since it uses less digits than its factorization.

96442580520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 96442580520 in words is "ninety-six billion, four hundred forty-two million, five hundred eighty thousand, five hundred twenty".