98256465197280 has 3072 divisors, whose sum is σ = 414413895168000. Its totient is φ = 21520583884800.

The previous prime is 98256465197239. The next prime is 98256465197323. The reversal of 98256465197280 is 8279156465289.

98256465197280 is a `hidden beast` number, since 9 + 8 + 2 + 5 + 6 + 465 + 19 + 72 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 98256465197199 and 98256465197208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 296847326715 + ... + 296847327045.

It is an arithmetic number, because the mean of its divisors is an integer number (134900356500).

Almost surely, 2^{98256465197280} is an apocalyptic number.

98256465197280 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 98256465197280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207206947584000).

98256465197280 is an abundant number, since it is smaller than the sum of its proper divisors (316157429970720).

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

98256465197280 is a wasteful number, since it uses less digits than its factorization.

98256465197280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 98256465197280 in words is "ninety-eight trillion, two hundred fifty-six billion, four hundred sixty-five million, one hundred ninety-seven thousand, two hundred eighty".