96931887840 has 384 divisors, whose sum is σ = 345241612800. Its totient is φ = 25395793920.

The previous prime is 96931887809. The next prime is 96931887841. The reversal of 96931887840 is 4878813969.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96931887841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119521035 + ... + 119521845.

It is an arithmetic number, because the mean of its divisors is an integer number (899066700).

Almost surely, 2^96931887840 is an apocalyptic number.

96931887840 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 96931887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172620806400).

96931887840 is an abundant number, since it is smaller than the sum of its proper divisors (248309724960).

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

96931887840 is a wasteful number, since it uses less digits than its factorization.

96931887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 96931887840 in words is "ninety-six billion, nine hundred thirty-one million, eight hundred eighty-seven thousand, eight hundred forty".