96865917120 has 1120 divisors, whose sum is σ = 414386767872. Its totient is φ = 21015355392.

The previous prime is 96865917107. The next prime is 96865917143. The reversal of 96865917120 is 2171956869.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 315524007 + ... + 315524313.

Almost surely, 2^96865917120 is an apocalyptic number.

96865917120 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 96865917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207193383936).

96865917120 is an abundant number, since it is smaller than the sum of its proper divisors (317520850752).

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

96865917120 is a wasteful number, since it uses less digits than its factorization.

96865917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 96865917120 in words is "ninety-six billion, eight hundred sixty-five million, nine hundred seventeen thousand, one hundred twenty".