99054428256000 has 5184 divisors, whose sum is σ = 457283423600640. Its totient is φ = 21244678963200.

The previous prime is 99054428255999. The next prime is 99054428256019. The reversal of 99054428256000 is 65282445099.

99054428256000 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 4 + 4 + 2 + 8 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 779956127937 + ... + 779956128063.

It is an arithmetic number, because the mean of its divisors is an integer number (88210536960).

Almost surely, 2^{99054428256000} is an apocalyptic number.

99054428256000 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 99054428256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228641711800320).

99054428256000 is an abundant number, since it is smaller than the sum of its proper divisors (358228995344640).

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

99054428256000 is a wasteful number, since it uses less digits than its factorization.

99054428256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 99054428256000 in words is "ninety-nine trillion, fifty-four billion, four hundred twenty-eight million, two hundred fifty-six thousand".