98850158400 has 672 divisors, whose sum is σ = 399017532672. Its totient is φ = 20909260800.

The previous prime is 98850158387. The next prime is 98850158401. The reversal of 98850158400 is 485105889.

It is a tau number, because it is divible by the number of its divisors (672).

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 98850158400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98850158401) 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 95 ways as a sum of consecutive naturals, for example, 34841782 + ... + 34844618.

Almost surely, 2^98850158400 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 98850158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199508766336).

98850158400 is an abundant number, since it is smaller than the sum of its proper divisors (300167374272).

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

98850158400 is a wasteful number, since it uses less digits than its factorization.

98850158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 98850158400 in words is "ninety-eight billion, eight hundred fifty million, one hundred fifty-eight thousand, four hundred".