99913545600 has 768 divisors, whose sum is σ = 386992373760. Its totient is φ = 22404096000.

The previous prime is 99913545547. The next prime is 99913545601. The reversal of 99913545600 is 654531999.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99913545601) 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 95 ways as a sum of consecutive naturals, for example, 75292137 + ... + 75293463.

It is an arithmetic number, because the mean of its divisors is an integer number (503896320).

Almost surely, 2^99913545600 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 99913545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193496186880).

99913545600 is an abundant number, since it is smaller than the sum of its proper divisors (287078828160).

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

99913545600 is a wasteful number, since it uses less digits than its factorization.

99913545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 51.

It can be divided in two parts, 999135 and 45600, that added together give a triangular number (1044735 = T₁₄₄₅).

The spelling of 99913545600 in words is "ninety-nine billion, nine hundred thirteen million, five hundred forty-five thousand, six hundred".