96988434480 has 560 divisors, whose sum is σ = 396896245824. Its totient is φ = 21566269440.

The previous prime is 96988434467. The next prime is 96988434481. The reversal of 96988434480 is 8443488969.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (96988434481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15101670 + ... + 15108090.

Almost surely, 2^96988434480 is an apocalyptic number.

96988434480 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 96988434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198448122912).

96988434480 is an abundant number, since it is smaller than the sum of its proper divisors (299907811344).

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

96988434480 is a wasteful number, since it uses less digits than its factorization.

96988434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 96988434480 in words is "ninety-six billion, nine hundred eighty-eight million, four hundred thirty-four thousand, four hundred eighty".