98020540800 has 1728 divisors, whose sum is σ = 455162943600. Its totient is φ = 20530298880.

The previous prime is 98020540759. The next prime is 98020540811. The reversal of 98020540800 is 804502089.

98020540800 is a `hidden beast` number, since 98 + 0 + 20 + 540 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 715478332 + ... + 715478468.

Almost surely, 2^98020540800 is an apocalyptic number.

98020540800 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 98020540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227581471800).

98020540800 is an abundant number, since it is smaller than the sum of its proper divisors (357142402800).

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

98020540800 is a wasteful number, since it uses less digits than its factorization.

98020540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 98020540800 in words is "ninety-eight billion, twenty million, five hundred forty thousand, eight hundred".