82251317700 has 288 divisors, whose sum is σ = 271597200000. Its totient is φ = 21341491200.

The previous prime is 82251317627. The next prime is 82251317711. The reversal of 82251317700 is 771315228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55238556 + ... + 55240044.

Almost surely, 2^82251317700 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 82251317700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135798600000).

82251317700 is an abundant number, since it is smaller than the sum of its proper divisors (189345882300).

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

82251317700 is a wasteful number, since it uses less digits than its factorization.

82251317700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 82251317700 in words is "eighty-two billion, two hundred fifty-one million, three hundred seventeen thousand, seven hundred".