82181059561062 has 512 divisors, whose sum is σ = 238678285824000. Its totient is φ = 20942647165440.

The previous prime is 82181059561039. The next prime is 82181059561127. The reversal of 82181059561062 is 26016595018128.

82181059561062 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 10 + 5 + 9 + 5 + 610 + 6 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1306565998 + ... + 1306628894.

It is an arithmetic number, because the mean of its divisors is an integer number (466168527000).

Almost surely, 2^{82181059561062} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82181059561062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119339142912000).

82181059561062 is an abundant number, since it is smaller than the sum of its proper divisors (156497226262938).

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

82181059561062 is a wasteful number, since it uses less digits than its factorization.

82181059561062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63015 (or 62973 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 82181059561062 in words is "eighty-two trillion, one hundred eighty-one billion, fifty-nine million, five hundred sixty-one thousand, sixty-two".