82697989731840 has 960 divisors, whose sum is σ = 351581300928000. Its totient is φ = 17907502104576.

The previous prime is 82697989731829. The next prime is 82697989731967. The reversal of 82697989731840 is 4813798979628.

82697989731840 is a `hidden beast` number, since 8 + 2 + 6 + 97 + 98 + 97 + 318 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 82697989731840.

It is a congruent number.

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, 149876299 + ... + 150427061.

It is an arithmetic number, because the mean of its divisors is an integer number (366230521800).

Almost surely, 2^{82697989731840} is an apocalyptic number.

82697989731840 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 82697989731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175790650464000).

82697989731840 is an abundant number, since it is smaller than the sum of its proper divisors (268883311196160).

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

82697989731840 is a wasteful number, since it uses less digits than its factorization.

82697989731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550832 (or 550799 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 82697989731840 in words is "eighty-two trillion, six hundred ninety-seven billion, nine hundred eighty-nine million, seven hundred thirty-one thousand, eight hundred forty".