82261846598400 has 3456 divisors, whose sum is σ = 377570767257600. Its totient is φ = 17106105139200.

The previous prime is 82261846598387. The next prime is 82261846598411. The reversal of 82261846598400 is 489564816228.

82261846598400 is a `hidden beast` number, since 8 + 2 + 2 + 6 + 1 + 84 + 65 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×82261846598400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63132652149 + ... + 63132653451.

Almost surely, 2^{82261846598400} is an apocalyptic number.

82261846598400 is a gapful number since it is divisible by the number (80) 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 82261846598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188785383628800).

82261846598400 is an abundant number, since it is smaller than the sum of its proper divisors (295308920659200).

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

82261846598400 is a wasteful number, since it uses less digits than its factorization.

82261846598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 82261846598400 in words is "eighty-two trillion, two hundred sixty-one billion, eight hundred forty-six million, five hundred ninety-eight thousand, four hundred".