96353601508440 has 512 divisors, whose sum is σ = 331063704576000. Its totient is φ = 24908696322048.

The previous prime is 96353601508393. The next prime is 96353601508453. The reversal of 96353601508440 is 4480510635369.

96353601508440 is a `hidden beast` number, since 9 + 6 + 35 + 3 + 60 + 1 + 508 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20663433549 + ... + 20663438211.

It is an arithmetic number, because the mean of its divisors is an integer number (646608798000).

Almost surely, 2^{96353601508440} is an apocalyptic number.

96353601508440 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 96353601508440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165531852288000).

96353601508440 is an abundant number, since it is smaller than the sum of its proper divisors (234710103067560).

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

96353601508440 is a wasteful number, since it uses less digits than its factorization.

96353601508440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 96353601508440 in words is "ninety-six trillion, three hundred fifty-three billion, six hundred one million, five hundred eight thousand, four hundred forty".