99254809285632 has 3520 divisors, whose sum is σ = 419709386342400. Its totient is φ = 23000437555200.

The previous prime is 99254809285553. The next prime is 99254809285661. The reversal of 99254809285632 is 23658290845299.

99254809285632 is a `hidden beast` number, since 9 + 9 + 2 + 5 + 480 + 9 + 2 + 85 + 63 + 2 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 126117927543 + ... + 126117928329.

It is an arithmetic number, because the mean of its divisors is an integer number (119235621120).

Almost surely, 2^{99254809285632} 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 99254809285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209854693171200).

99254809285632 is an abundant number, since it is smaller than the sum of its proper divisors (320454577056768).

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

99254809285632 is a wasteful number, since it uses less digits than its factorization.

99254809285632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 99254809285632 in words is "ninety-nine trillion, two hundred fifty-four billion, eight hundred nine million, two hundred eighty-five thousand, six hundred thirty-two".