82533167196480 has 6272 divisors, whose sum is σ = 419522679668736. Its totient is φ = 15023022981120.

The previous prime is 82533167196437. The next prime is 82533167196497. The reversal of 82533167196480 is 8469176133528.

82533167196480 is a `hidden beast` number, since 8 + 2 + 5 + 3 + 3 + 1 + 67 + 1 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 649867458177 + ... + 649867458303.

It is a 1-persistent number, because it is pandigital, but 2⋅82533167196480 = 165066334392960 is not.

Almost surely, 2^{82533167196480} is an apocalyptic number.

82533167196480 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 82533167196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209761339834368).

82533167196480 is an abundant number, since it is smaller than the sum of its proper divisors (336989512472256).

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

82533167196480 is a wasteful number, since it uses less digits than its factorization.

82533167196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 82533167196480 in words is "eighty-two trillion, five hundred thirty-three billion, one hundred sixty-seven million, one hundred ninety-six thousand, four hundred eighty".