96590398400 has 168 divisors, whose sum is σ = 240056968704. Its totient is φ = 38250777600.

The previous prime is 96590398367. The next prime is 96590398469. The reversal of 96590398400 is 489309569.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75284159 + ... + 75285441.

It is an arithmetic number, because the mean of its divisors is an integer number (1428910528).

Almost surely, 2^96590398400 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 96590398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120028484352).

96590398400 is an abundant number, since it is smaller than the sum of its proper divisors (143466570304).

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

96590398400 is a wasteful number, since it uses less digits than its factorization.

96590398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 53.

The spelling of 96590398400 in words is "ninety-six billion, five hundred ninety million, three hundred ninety-eight thousand, four hundred".