82667728245572 has 24 divisors (see below), whose sum is σ = 148692688189080. Its totient is φ = 40185820396800.

The previous prime is 82667728245481. The next prime is 82667728245581. The reversal of 82667728245572 is 27554282776628.

It can be written as a sum of positive squares in 4 ways, for example, as 12040108852996 + 70627619392576 = 3469886^2 + 8404024^2 .

It is a super-2 number, since 2×82667728245572² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82667728245496 and 82667728245505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214475297 + ... + 214860392.

It is an arithmetic number, because the mean of its divisors is an integer number (6195528674545).

Almost surely, 2^{82667728245572} is an apocalyptic number.

It is an amenable number.

82667728245572 is a deficient number, since it is larger than the sum of its proper divisors (66024959943508).

82667728245572 is a wasteful number, since it uses less digits than its factorization.

82667728245572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429337031 (or 429337029 counting only the distinct ones).

The product of its digits is 1264435200, while the sum is 71.

The spelling of 82667728245572 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred twenty-eight million, two hundred forty-five thousand, five hundred seventy-two".