96470609875200 has 1296 divisors, whose sum is σ = 397035001883520. Its totient is φ = 22118350848000.

The previous prime is 96470609875187. The next prime is 96470609875201. The reversal of 96470609875200 is 257890607469.

96470609875200 is a `hidden beast` number, since 9 + 6 + 47 + 0 + 60 + 9 + 8 + 7 + 520 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (96470609875201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1296942010 + ... + 1297016390.

It is an arithmetic number, because the mean of its divisors is an integer number (306354168120).

Almost surely, 2^{96470609875200} is an apocalyptic number.

96470609875200 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 96470609875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198517500941760).

96470609875200 is an abundant number, since it is smaller than the sum of its proper divisors (300564392008320).

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

96470609875200 is a wasteful number, since it uses less digits than its factorization.

96470609875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74536 (or 74514 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 96470609875200 in words is "ninety-six trillion, four hundred seventy billion, six hundred nine million, eight hundred seventy-five thousand, two hundred".