85610078464 has 27 divisors (see below), whose sum is σ = 170895087727. Its totient is φ = 42802698496.

The previous prime is 85610078453. The next prime is 85610078531. The reversal of 85610078464 is 46487001658.

The square root of 85610078464 is 292592.

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

It is a super-2 number, since 2×85610078464² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4672329 + ... + 4690615.

Almost surely, 2^85610078464 is an apocalyptic number.

85610078464 is the 292592-nd square number.

It is an amenable number.

85610078464 is a deficient number, since it is larger than the sum of its proper divisors (85285009263).

85610078464 is an frugal number, since it uses more digits than its factorization.

85610078464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36590 (or 18289 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 85610078464 by its sum of digits (49), we get a square (4194893844736 = 2048144²).

The spelling of 85610078464 in words is "eighty-five billion, six hundred ten million, seventy-eight thousand, four hundred sixty-four".