96577920000 has 990 divisors, whose sum is σ = 377589014088. Its totient is φ = 24634368000.

The previous prime is 96577919953. The next prime is 96577920007. The reversal of 96577920000 is 2977569.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96577920007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4199039989 + ... + 4199040011.

Almost surely, 2^96577920000 is an apocalyptic number.

96577920000 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 96577920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188794507044).

96577920000 is an abundant number, since it is smaller than the sum of its proper divisors (281011094088).

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

96577920000 is an frugal number, since it uses more digits than its factorization.

96577920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 96577920000 in words is "ninety-six billion, five hundred seventy-seven million, nine hundred twenty thousand".