98817272611200 has 6144 divisors, whose sum is σ = 475425570816000. Its totient is φ = 19671662592000.

The previous prime is 98817272611171. The next prime is 98817272611247. The reversal of 98817272611200 is 211627271889.

98817272611200 is a `hidden beast` number, since 9 + 8 + 8 + 17 + 2 + 7 + 2 + 611 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 269256873417 + ... + 269256873783.

It is an arithmetic number, because the mean of its divisors is an integer number (77380464000).

Almost surely, 2^{98817272611200} is an apocalyptic number.

98817272611200 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 98817272611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237712785408000).

98817272611200 is an abundant number, since it is smaller than the sum of its proper divisors (376608298204800).

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

98817272611200 is a wasteful number, since it uses less digits than its factorization.

98817272611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 98817272611200 in words is "ninety-eight trillion, eight hundred seventeen billion, two hundred seventy-two million, six hundred eleven thousand, two hundred".