96978107520 has 512 divisors, whose sum is σ = 415629273600. Its totient is φ = 20862074880.

The previous prime is 96978107491. The next prime is 96978107539. The reversal of 96978107520 is 2570187969.

96978107520 is a `hidden beast` number, since 9 + 6 + 9 + 7 + 8 + 107 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2032740 + ... + 2079900.

It is an arithmetic number, because the mean of its divisors is an integer number (811775925).

Almost surely, 2^96978107520 is an apocalyptic number.

96978107520 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 96978107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207814636800).

96978107520 is an abundant number, since it is smaller than the sum of its proper divisors (318651166080).

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

96978107520 is a wasteful number, since it uses less digits than its factorization.

96978107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47213 (or 47195 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 96978107520 in words is "ninety-six billion, nine hundred seventy-eight million, one hundred seven thousand, five hundred twenty".