96201856512000 has 1248 divisors, whose sum is σ = 377132882166144. Its totient is φ = 23491510272000.

The previous prime is 96201856511993. The next prime is 96201856512007. The reversal of 96201856512000 is 21565810269.

96201856512000 is a `hidden beast` number, since 9 + 62 + 0 + 1 + 8 + 565 + 1 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96201856511993) and next prime (96201856512007).

It is a super-2 number, since 2×96201856512000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96201856512007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2898415405 + ... + 2898448595.

It is an arithmetic number, because the mean of its divisors is an integer number (302189809428).

Almost surely, 2^{96201856512000} is an apocalyptic number.

96201856512000 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 96201856512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188566441083072).

96201856512000 is an abundant number, since it is smaller than the sum of its proper divisors (280931025654144).

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

96201856512000 is a wasteful number, since it uses less digits than its factorization.

96201856512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33290 (or 33255 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 96201856512000 in words is "ninety-six trillion, two hundred one billion, eight hundred fifty-six million, five hundred twelve thousand".