99901635482880 has 5760 divisors, whose sum is σ = 479510599873536. Its totient is φ = 19263179980800.

The previous prime is 99901635482867. The next prime is 99901635482881. The reversal of 99901635482880 is 8828453610999.

99901635482880 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 1 + 63 + 5 + 482 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 99901635482799 and 99901635482808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99901635482881) 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 639 ways as a sum of consecutive naturals, for example, 884085269704 + ... + 884085269816.

Almost surely, 2^{99901635482880} is an apocalyptic number.

99901635482880 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 99901635482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239755299936768).

99901635482880 is an abundant number, since it is smaller than the sum of its proper divisors (379608964390656).

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

99901635482880 is a wasteful number, since it uses less digits than its factorization.

99901635482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 99901635482880 in words is "ninety-nine trillion, nine hundred one billion, six hundred thirty-five million, four hundred eighty-two thousand, eight hundred eighty".