96990408000 has 336 divisors, whose sum is σ = 349715718144. Its totient is φ = 25658035200.

The previous prime is 96990407993. The next prime is 96990408001. The reversal of 96990408000 is 80409969.

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 (96990408001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9138697 + ... + 9149303.

Almost surely, 2^96990408000 is an apocalyptic number.

96990408000 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 96990408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174857859072).

96990408000 is an abundant number, since it is smaller than the sum of its proper divisors (252725310144).

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

96990408000 is a wasteful number, since it uses less digits than its factorization.

96990408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 96990408000 in words is "ninety-six billion, nine hundred ninety million, four hundred eight thousand".