85232669472 has 384 divisors, whose sum is σ = 265047552000. Its totient is φ = 26600555520.

The previous prime is 85232669461. The next prime is 85232669507. The reversal of 85232669472 is 27496623258.

85232669472 is a `hidden beast` number, since 8 + 523 + 26 + 6 + 94 + 7 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 257500347 + ... + 257500677.

It is an arithmetic number, because the mean of its divisors is an integer number (690228000).

Almost surely, 2^85232669472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85232669472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132523776000).

85232669472 is an abundant number, since it is smaller than the sum of its proper divisors (179814882528).

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

85232669472 is a wasteful number, since it uses less digits than its factorization.

85232669472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 85232669472 in words is "eighty-five billion, two hundred thirty-two million, six hundred sixty-nine thousand, four hundred seventy-two".