82971810000 has 800 divisors, whose sum is σ = 321305149440. Its totient is φ = 20433600000.

The previous prime is 82971809993. The next prime is 82971810007. The reversal of 82971810000 is 1817928.

It is an interprime number because it is at equal distance from previous prime (82971809993) and next prime (82971810007).

It is a super-2 number, since 2×82971810000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82971810007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 192509785 + ... + 192510215.

Almost surely, 2^82971810000 is an apocalyptic number.

82971810000 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 82971810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160652574720).

82971810000 is an abundant number, since it is smaller than the sum of its proper divisors (238333339440).

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

82971810000 is a wasteful number, since it uses less digits than its factorization.

82971810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 82971810000 in words is "eighty-two billion, nine hundred seventy-one million, eight hundred ten thousand".