82533945021372 has 216 divisors, whose sum is σ = 227636985816240. Its totient is φ = 25201675100160.

The previous prime is 82533945021371. The next prime is 82533945021421. The reversal of 82533945021372 is 27312054933528.

82533945021372 is a `hidden beast` number, since 8 + 2 + 5 + 33 + 94 + 502 + 13 + 7 + 2 = 666.

82533945021372 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82533945021371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 427626972 + ... + 427819932.

Almost surely, 2^{82533945021372} 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 82533945021372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113818492908120).

82533945021372 is an abundant number, since it is smaller than the sum of its proper divisors (145103040794868).

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

82533945021372 is a wasteful number, since it uses less digits than its factorization.

82533945021372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193533 (or 193515 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 82533945021372 in words is "eighty-two trillion, five hundred thirty-three billion, nine hundred forty-five million, twenty-one thousand, three hundred seventy-two".