99602061825600 has 2688 divisors, whose sum is σ = 399532394004480. Its totient is φ = 24067084124160.

The previous prime is 99602061825599. The next prime is 99602061825667. The reversal of 99602061825600 is 652816020699.

It is a happy number.

99602061825600 is a `hidden beast` number, since 9 + 9 + 6 + 0 + 2 + 0 + 6 + 1 + 8 + 25 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 387556660672 + ... + 387556660928.

Almost surely, 2^{99602061825600} is an apocalyptic number.

99602061825600 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 99602061825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199766197002240).

99602061825600 is an abundant number, since it is smaller than the sum of its proper divisors (299930332178880).

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

99602061825600 is a wasteful number, since it uses less digits than its factorization.

99602061825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 99602061825600 in words is "ninety-nine trillion, six hundred two billion, sixty-one million, eight hundred twenty-five thousand, six hundred".