99874447545600 has 2592 divisors, whose sum is σ = 456907929354240. Its totient is φ = 20901051924480.

The previous prime is 99874447545583. The next prime is 99874447545667. The reversal of 99874447545600 is 654574447899.

99874447545600 is a `hidden beast` number, since 9 + 9 + 8 + 7 + 4 + 4 + 4 + 7 + 5 + 4 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25961642877 + ... + 25961646723.

Almost surely, 2^{99874447545600} is an apocalyptic number.

99874447545600 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 99874447545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228453964677120).

99874447545600 is an abundant number, since it is smaller than the sum of its proper divisors (357033481808640).

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

99874447545600 is a wasteful number, since it uses less digits than its factorization.

99874447545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 99874447545600 in words is "ninety-nine trillion, eight hundred seventy-four billion, four hundred forty-seven million, five hundred forty-five thousand, six hundred".