98027203083264 has 880 divisors, whose sum is σ = 375946160798208. Its totient is φ = 24729226739712.

The previous prime is 98027203083239. The next prime is 98027203083499. The reversal of 98027203083264 is 46238030272089.

98027203083264 is a `hidden beast` number, since 9 + 8 + 0 + 2 + 7 + 2 + 0 + 308 + 326 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 98027203083264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 173319459 + ... + 173884125.

Almost surely, 2^{98027203083264} 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 98027203083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187973080399104).

98027203083264 is an abundant number, since it is smaller than the sum of its proper divisors (277918957714944).

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

98027203083264 is a wasteful number, since it uses less digits than its factorization.

98027203083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564742 (or 564715 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 98027203083264 in words is "ninety-eight trillion, twenty-seven billion, two hundred three million, eighty-three thousand, two hundred sixty-four".