99480542212800 has 4032 divisors, whose sum is σ = 465081728102400. Its totient is φ = 20542375526400.

The previous prime is 99480542212759. The next prime is 99480542212829. The reversal of 99480542212800 is 821224508499.

99480542212800 is a `hidden beast` number, since 9 + 9 + 4 + 8 + 0 + 542 + 2 + 12 + 80 + 0 = 666.

99480542212800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 575 ways as a sum of consecutive naturals, for example, 91016049054 + ... + 91016050146.

Almost surely, 2^{99480542212800} is an apocalyptic number.

99480542212800 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 99480542212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232540864051200).

99480542212800 is an abundant number, since it is smaller than the sum of its proper divisors (365601185889600).

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

99480542212800 is a wasteful number, since it uses less digits than its factorization.

99480542212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 99480542212800 in words is "ninety-nine trillion, four hundred eighty billion, five hundred forty-two million, two hundred twelve thousand, eight hundred".