98850870547200 has 432 divisors, whose sum is σ = 364101669335040. Its totient is φ = 26242014597120.

The previous prime is 98850870547193. The next prime is 98850870547201. The reversal of 98850870547200 is 274507805889.

98850870547200 is a `hidden beast` number, since 9 + 8 + 8 + 5 + 0 + 87 + 0 + 547 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (98850870547201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37251769 + ... + 39817031.

Almost surely, 2^{98850870547200} is an apocalyptic number.

98850870547200 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 98850870547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182050834667520).

98850870547200 is an abundant number, since it is smaller than the sum of its proper divisors (265250798787840).

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

98850870547200 is a wasteful number, since it uses less digits than its factorization.

98850870547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565521 (or 2565496 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 98850870547200 in words is "ninety-eight trillion, eight hundred fifty billion, eight hundred seventy million, five hundred forty-seven thousand, two hundred".