85809156624 has 225 divisors, whose sum is σ = 254005990623. Its totient is φ = 27966803904.

The previous prime is 85809156607. The next prime is 85809156647. The reversal of 85809156624 is 42665190858.

The square root of 85809156624 is 292932.

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

85809156624 is a `hidden beast` number, since 8 + 5 + 8 + 0 + 9 + 1 + 5 + 6 + 624 = 666.

It is a super-2 number, since 2×85809156624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 833098557 + ... + 833098659.

Almost surely, 2^85809156624 is an apocalyptic number.

85809156624 is the 292932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85809156624

85809156624 is an abundant number, since it is smaller than the sum of its proper divisors (168196833999).

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

85809156624 is an equidigital number, since it uses as much as digits as its factorization.

85809156624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85809156624 in words is "eighty-five billion, eight hundred nine million, one hundred fifty-six thousand, six hundred twenty-four".