82503352126800 has 2880 divisors, whose sum is σ = 353119044934656. Its totient is φ = 18272430489600.

The previous prime is 82503352126799. The next prime is 82503352126813. The reversal of 82503352126800 is 862125330528.

82503352126800 is a `hidden beast` number, since 8 + 2 + 50 + 335 + 2 + 1 + 268 + 0 + 0 = 666.

It is a super-2 number, since 2×82503352126800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 221188611414 + ... + 221188611786.

Almost surely, 2^{82503352126800} is an apocalyptic number.

82503352126800 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 82503352126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176559522467328).

82503352126800 is an abundant number, since it is smaller than the sum of its proper divisors (270615692807856).

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

82503352126800 is a wasteful number, since it uses less digits than its factorization.

82503352126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 82503352126800 in words is "eighty-two trillion, five hundred three billion, three hundred fifty-two million, one hundred twenty-six thousand, eight hundred".