85294672560 has 240 divisors, whose sum is σ = 304389446400. Its totient is φ = 21330247680.

The previous prime is 85294672559. The next prime is 85294672613. The reversal of 85294672560 is 6527649258.

85294672560 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 4 + 6 + 72 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 85294672497 and 85294672506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3427041 + ... + 3451839.

It is an arithmetic number, because the mean of its divisors is an integer number (1268289360).

Almost surely, 2^85294672560 is an apocalyptic number.

85294672560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85294672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152194723200).

85294672560 is an abundant number, since it is smaller than the sum of its proper divisors (219094773840).

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

85294672560 is a wasteful number, since it uses less digits than its factorization.

85294672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25116 (or 25107 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 85294672560 in words is "eighty-five billion, two hundred ninety-four million, six hundred seventy-two thousand, five hundred sixty".