98774755200 has 576 divisors, whose sum is σ = 387001480320. Its totient is φ = 23789260800.

The previous prime is 98774755199. The next prime is 98774755217. The reversal of 98774755200 is 255747789.

It is a happy number.

98774755200 is a `hidden beast` number, since 9 + 8 + 77 + 47 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52904667 + ... + 52906533.

It is an arithmetic number, because the mean of its divisors is an integer number (671877570).

Almost surely, 2^98774755200 is an apocalyptic number.

98774755200 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 98774755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193500740160).

98774755200 is an abundant number, since it is smaller than the sum of its proper divisors (288226725120).

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

98774755200 is a wasteful number, since it uses less digits than its factorization.

98774755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 98774755200 in words is "ninety-eight billion, seven hundred seventy-four million, seven hundred fifty-five thousand, two hundred".