82653950016 has 343 divisors, whose sum is σ = 270503355487. Its totient is φ = 25046651520.

The previous prime is 82653949933. The next prime is 82653950047. The reversal of 82653950016 is 61005935628.

The square root of 82653950016 is 287496.

The cubic root of 82653950016 is 4356.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

82653950016 is a `hidden beast` number, since 82 + 6 + 53 + 9 + 500 + 16 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 7513995451 + ... + 7513995461.

Almost surely, 2^82653950016 is an apocalyptic number.

82653950016 is the 287496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82653950016

82653950016 is an abundant number, since it is smaller than the sum of its proper divisors (187849405471).

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

82653950016 is an frugal number, since it uses more digits than its factorization.

82653950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 82653950016 in words is "eighty-two billion, six hundred fifty-three million, nine hundred fifty thousand, sixteen".