82514057472 has 432 divisors, whose sum is σ = 297538375680. Its totient is φ = 21365452800.

The previous prime is 82514057471. The next prime is 82514057501. The reversal of 82514057472 is 27475041528.

82514057472 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 4 + 0 + 574 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (82514057471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84977947 + ... + 84978917.

It is an arithmetic number, because the mean of its divisors is an integer number (688746240).

Almost surely, 2^82514057472 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 82514057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148769187840).

82514057472 is an abundant number, since it is smaller than the sum of its proper divisors (215024318208).

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

82514057472 is a wasteful number, since it uses less digits than its factorization.

82514057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 82514057472 in words is "eighty-two billion, five hundred fourteen million, fifty-seven thousand, four hundred seventy-two".