99635588344480 has 576 divisors, whose sum is σ = 271543678493472. Its totient is φ = 34397261660160.

The previous prime is 99635588344417. The next prime is 99635588344493. The reversal of 99635588344480 is 8444388553699.

It can be written as a sum of positive squares in 16 ways, for example, as 76266756151056 + 23368832193424 = 8733084^2 + 4834132^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 99635588344397 and 99635588344406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7157207920 + ... + 7157221840.

Almost surely, 2^{99635588344480} 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 99635588344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135771839246736).

99635588344480 is an abundant number, since it is smaller than the sum of its proper divisors (171908090148992).

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

99635588344480 is a wasteful number, since it uses less digits than its factorization.

99635588344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14225 (or 14198 counting only the distinct ones).

The product of its (nonzero) digits is 3583180800, while the sum is 76.

The spelling of 99635588344480 in words is "ninety-nine trillion, six hundred thirty-five billion, five hundred eighty-eight million, three hundred forty-four thousand, four hundred eighty".