99181534596480 has 3072 divisors, whose sum is σ = 446861202278400. Its totient is φ = 20496558587904.

The previous prime is 99181534596407. The next prime is 99181534596491. The reversal of 99181534596480 is 8469543518199.

99181534596480 is a `hidden beast` number, since 9 + 9 + 1 + 8 + 1 + 53 + 4 + 5 + 96 + 480 = 666.

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 = 99181534596399 and 99181534596408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 151885963834 + ... + 151885964486.

It is an arithmetic number, because the mean of its divisors is an integer number (145462630950).

Almost surely, 2^{99181534596480} is an apocalyptic number.

99181534596480 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 99181534596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223430601139200).

99181534596480 is an abundant number, since it is smaller than the sum of its proper divisors (347679667681920).

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

99181534596480 is a wasteful number, since it uses less digits than its factorization.

99181534596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 99181534596480 in words is "ninety-nine trillion, one hundred eighty-one billion, five hundred thirty-four million, five hundred ninety-six thousand, four hundred eighty".