98500814045920 has 192 divisors, whose sum is σ = 273401443143360. Its totient is φ = 33061998182400.

The previous prime is 98500814045891. The next prime is 98500814045983. The reversal of 98500814045920 is 2954041800589.

98500814045920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802317340 + ... + 802440100.

It is an arithmetic number, because the mean of its divisors is an integer number (1423965849705).

Almost surely, 2^{98500814045920} 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 98500814045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136700721571680).

98500814045920 is an abundant number, since it is smaller than the sum of its proper divisors (174900629097440).

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

98500814045920 is a wasteful number, since it uses less digits than its factorization.

98500814045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157869 (or 157861 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 98500814045920 in words is "ninety-eight trillion, five hundred billion, eight hundred fourteen million, forty-five thousand, nine hundred twenty".