99256281600 has 1440 divisors, whose sum is σ = 421686492480. Its totient is φ = 20423639040.

The previous prime is 99256281589. The next prime is 99256281667. The reversal of 99256281600 is 618265299.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99256281600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 927628747 + ... + 927628853.

It is an arithmetic number, because the mean of its divisors is an integer number (292837842).

Almost surely, 2^99256281600 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 99256281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210843246240).

99256281600 is an abundant number, since it is smaller than the sum of its proper divisors (322430210880).

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

99256281600 is a wasteful number, since it uses less digits than its factorization.

99256281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 99256281600 in words is "ninety-nine billion, two hundred fifty-six million, two hundred eighty-one thousand, six hundred".