85278048768 has 240 divisors, whose sum is σ = 269555622336. Its totient is φ = 25739550720.

The previous prime is 85278048767. The next prime is 85278048797. The reversal of 85278048768 is 86784087258.

85278048768 is a `hidden beast` number, since 8 + 527 + 8 + 0 + 48 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (85278048767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13327746 + ... + 13334142.

Almost surely, 2^85278048768 is an apocalyptic number.

85278048768 is a gapful number since it is divisible by the number (88) 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 85278048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134777811168).

85278048768 is an abundant number, since it is smaller than the sum of its proper divisors (184277573568).

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

85278048768 is a wasteful number, since it uses less digits than its factorization.

85278048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 85278048768 in words is "eighty-five billion, two hundred seventy-eight million, forty-eight thousand, seven hundred sixty-eight".