96869253120 has 256 divisors, whose sum is σ = 328239125280. Its totient is φ = 24310185984.

The previous prime is 96869253119. The next prime is 96869253253. The reversal of 96869253120 is 2135296869.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-4 number, since 4×96869253120⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8350044 + ... + 8361636.

Almost surely, 2^96869253120 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 96869253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164119562640).

96869253120 is an abundant number, since it is smaller than the sum of its proper divisors (231369872160).

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

96869253120 is a wasteful number, since it uses less digits than its factorization.

96869253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11648 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 96869253120 in words is "ninety-six billion, eight hundred sixty-nine million, two hundred fifty-three thousand, one hundred twenty".