98870948886528 has 3456 divisors, whose sum is σ = 385596351504000. Its totient is φ = 24346519142400.

The previous prime is 98870948886517. The next prime is 98870948886623. The reversal of 98870948886528 is 82568884907889.

98870948886528 is a `hidden beast` number, since 9 + 8 + 8 + 70 + 9 + 4 + 8 + 8 + 8 + 6 + 528 = 666.

98870948886528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1620835227618 + ... + 1620835227678.

It is an arithmetic number, because the mean of its divisors is an integer number (111573018375).

Almost surely, 2^{98870948886528} is an apocalyptic number.

98870948886528 is a gapful number since it is divisible by the number (98) 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 98870948886528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192798175752000).

98870948886528 is an abundant number, since it is smaller than the sum of its proper divisors (286725402617472).

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

98870948886528 is a wasteful number, since it uses less digits than its factorization.

98870948886528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 35672555520, while the sum is 90.

The spelling of 98870948886528 in words is "ninety-eight trillion, eight hundred seventy billion, nine hundred forty-eight million, eight hundred eighty-six thousand, five hundred twenty-eight".