98761420800 has 1170 divisors, whose sum is σ = 427315525428. Its totient is φ = 22574039040.

The previous prime is 98761420783. The next prime is 98761420939. The reversal of 98761420800 is 802416789.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

98761420800 is a `hidden beast` number, since 9 + 8 + 7 + 614 + 20 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 14108774397 + ... + 14108774403.

Almost surely, 2^98761420800 is an apocalyptic number.

98761420800 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 98761420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213657762714).

98761420800 is an abundant number, since it is smaller than the sum of its proper divisors (328554104628).

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

98761420800 is an frugal number, since it uses more digits than its factorization.

98761420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 98761420800 in words is "ninety-eight billion, seven hundred sixty-one million, four hundred twenty thousand, eight hundred".