96477809809920 has 3840 divisors, whose sum is σ = 433201930444800. Its totient is φ = 18121162752000.

The previous prime is 96477809809891. The next prime is 96477809809921. The reversal of 96477809809920 is 2990890877469.

It is a tau number, because it is divible by the number of its divisors (3840).

It is not an unprimeable number, because it can be changed into a prime (96477809809921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 240593041720 + ... + 240593042120.

It is an arithmetic number, because the mean of its divisors is an integer number (112813002720).

Almost surely, 2^{96477809809920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96477809809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216600965222400).

96477809809920 is an abundant number, since it is smaller than the sum of its proper divisors (336724120634880).

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

96477809809920 is a wasteful number, since it uses less digits than its factorization.

96477809809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 78.

The spelling of 96477809809920 in words is "ninety-six trillion, four hundred seventy-seven billion, eight hundred nine million, eight hundred nine thousand, nine hundred twenty".