82076230472544 has 768 divisors, whose sum is σ = 308977282252800. Its totient is φ = 20571173683200.

The previous prime is 82076230472527. The next prime is 82076230472609. The reversal of 82076230472544 is 44527403267028.

82076230472544 is a `hidden beast` number, since 8 + 2 + 0 + 7 + 6 + 23 + 0 + 4 + 72 + 544 = 666.

82076230472544 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 715584352 + ... + 715699040.

It is an arithmetic number, because the mean of its divisors is an integer number (402314169600).

Almost surely, 2^{82076230472544} is an apocalyptic number.

82076230472544 is a gapful number since it is divisible by the number (84) 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 82076230472544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154488641126400).

82076230472544 is an abundant number, since it is smaller than the sum of its proper divisors (226901051780256).

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

82076230472544 is a wasteful number, since it uses less digits than its factorization.

82076230472544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115104 (or 115090 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 82076230472544 in words is "eighty-two trillion, seventy-six billion, two hundred thirty million, four hundred seventy-two thousand, five hundred forty-four".