96280402400 has 576 divisors, whose sum is σ = 311200081920. Its totient is φ = 28234137600.

The previous prime is 96280402321. The next prime is 96280402429. The reversal of 96280402400 is 420408269.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 65009660 + ... + 65011140.

It is an arithmetic number, because the mean of its divisors is an integer number (540277920).

Almost surely, 2^96280402400 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 96280402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155600040960).

96280402400 is an abundant number, since it is smaller than the sum of its proper divisors (214919679520).

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

96280402400 is a wasteful number, since it uses less digits than its factorization.

96280402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 96280402400 in words is "ninety-six billion, two hundred eighty million, four hundred two thousand, four hundred".