96780528000 has 1024 divisors, whose sum is σ = 404546688000. Its totient is φ = 22544179200.

The previous prime is 96780527993. The next prime is 96780528011. The reversal of 96780528000 is 82508769.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106703547 + ... + 106704453.

It is an arithmetic number, because the mean of its divisors is an integer number (395065125).

Almost surely, 2^96780528000 is an apocalyptic number.

96780528000 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 96780528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202273344000).

96780528000 is an abundant number, since it is smaller than the sum of its proper divisors (307766160000).

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

96780528000 is a wasteful number, since it uses less digits than its factorization.

96780528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 96780528000 in words is "ninety-six billion, seven hundred eighty million, five hundred twenty-eight thousand".