96350514104880 has 320 divisors, whose sum is σ = 380430458035200. Its totient is φ = 21956438845440.

The previous prime is 96350514104869. The next prime is 96350514104891. The reversal of 96350514104880 is 8840141505369.

It is a happy number.

96350514104880 is a `hidden beast` number, since 9 + 6 + 3 + 5 + 0 + 514 + 1 + 0 + 48 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (96350514104869) and next prime (96350514104891).

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 63 ways as a sum of consecutive naturals, for example, 4621245 + ... + 14630684.

It is an arithmetic number, because the mean of its divisors is an integer number (1188845181360).

Almost surely, 2^{96350514104880} is an apocalyptic number.

96350514104880 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 96350514104880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190215229017600).

96350514104880 is an abundant number, since it is smaller than the sum of its proper divisors (284079943930320).

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

96350514104880 is a wasteful number, since it uses less digits than its factorization.

96350514104880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19252289 (or 19252277 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 96350514104880 in words is "ninety-six trillion, three hundred fifty billion, five hundred fourteen million, one hundred four thousand, eight hundred eighty".