96072503293440 has 1280 divisors, whose sum is σ = 364420425600000. Its totient is φ = 23920932814848.

The previous prime is 96072503293433. The next prime is 96072503293447. The reversal of 96072503293440 is 4439230527069.

96072503293440 is a `hidden beast` number, since 9 + 6 + 0 + 7 + 2 + 503 + 2 + 93 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (96072503293433) and next prime (96072503293447).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96072503293447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62022273786 + ... + 62022275334.

It is an arithmetic number, because the mean of its divisors is an integer number (284703457500).

Almost surely, 2^{96072503293440} is an apocalyptic number.

96072503293440 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 96072503293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182210212800000).

96072503293440 is an abundant number, since it is smaller than the sum of its proper divisors (268347922306560).

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

96072503293440 is a wasteful number, since it uses less digits than its factorization.

96072503293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 96072503293440 in words is "ninety-six trillion, seventy-two billion, five hundred three million, two hundred ninety-three thousand, four hundred forty".