96275819520 has 528 divisors, whose sum is σ = 345223438560. Its totient is φ = 24792268800.

The previous prime is 96275819473. The next prime is 96275819567. The reversal of 96275819520 is 2591857269.

96275819520 is a `hidden beast` number, since 9 + 6 + 2 + 7 + 581 + 9 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96275819473) and next prime (96275819567).

It is a super-2 number, since 2×96275819520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247495486 + ... + 247495874.

It is an arithmetic number, because the mean of its divisors is an integer number (653832270).

Almost surely, 2^96275819520 is an apocalyptic number.

96275819520 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 96275819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172611719280).

96275819520 is an abundant number, since it is smaller than the sum of its proper divisors (248947619040).

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

96275819520 is a wasteful number, since it uses less digits than its factorization.

96275819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 96275819520 in words is "ninety-six billion, two hundred seventy-five million, eight hundred nineteen thousand, five hundred twenty".