99602561520 has 1280 divisors, whose sum is σ = 461341900800. Its totient is φ = 19125227520.

The previous prime is 99602561503. The next prime is 99602561521. The reversal of 99602561520 is 2516520699.

It is a happy number.

99602561520 is a `hidden beast` number, since 9 + 9 + 6 + 0 + 2 + 5 + 615 + 20 = 666.

It is a super-2 number, since 2×99602561520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99602561521) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 135883074 + ... + 135883806.

It is an arithmetic number, because the mean of its divisors is an integer number (360423360).

Almost surely, 2^99602561520 is an apocalyptic number.

99602561520 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 99602561520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230670950400).

99602561520 is an abundant number, since it is smaller than the sum of its proper divisors (361739339280).

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

99602561520 is a wasteful number, since it uses less digits than its factorization.

99602561520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 99602561520 in words is "ninety-nine billion, six hundred two million, five hundred sixty-one thousand, five hundred twenty".