71867955385009 has 27 divisors (see below), whose sum is σ = 84078503626923. Its totient is φ = 61251611324400.

The previous prime is 71867955384983. The next prime is 71867955385063. The reversal of 71867955385009 is 90058355976817.

The square root of 71867955385009 is 8477497.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 791927349409 + 71076028035600 = 889903^2 + 8430660^2 .

It is not a de Polignac number, because 71867955385009 - 2²¹ = 71867953287857 is a prime.

It is a super-2 number, since 2×71867955385009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71867955386009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10740985354 + ... + 10740992044.

It is an arithmetic number, because the mean of its divisors is an integer number (3114018652849).

Almost surely, 2^{71867955385009} is an apocalyptic number.

71867955385009 is the 8477497-th square number.

71867955385009 is the 4238749-th centered octagonal number.

It is an amenable number.

71867955385009 is a deficient number, since it is larger than the sum of its proper divisors (12210548241914).

71867955385009 is an frugal number, since it uses more digits than its factorization.

71867955385009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13758 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 73.

The spelling of 71867955385009 in words is "seventy-one trillion, eight hundred sixty-seven billion, nine hundred fifty-five million, three hundred eighty-five thousand, nine".