96562509238272 has 1248 divisors, whose sum is σ = 328308484154112. Its totient is φ = 24706547712000.

The previous prime is 96562509238271. The next prime is 96562509238337. The reversal of 96562509238272 is 27283290526569.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96562509238271) 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, 343638822772 + ... + 343638823052.

Almost surely, 2^{96562509238272} 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 96562509238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164154242077056).

96562509238272 is an abundant number, since it is smaller than the sum of its proper divisors (231745974915840).

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

96562509238272 is a wasteful number, since it uses less digits than its factorization.

96562509238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 96562509238272 in words is "ninety-six trillion, five hundred sixty-two billion, five hundred nine million, two hundred thirty-eight thousand, two hundred seventy-two".