85574277360 has 1120 divisors, whose sum is σ = 362852775936. Its totient is φ = 18475776000.

The previous prime is 85574277343. The next prime is 85574277389. The reversal of 85574277360 is 6377247558.

It is a happy number.

85574277360 is a `hidden beast` number, since 8 + 5 + 5 + 7 + 4 + 277 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85574277297 and 85574277306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 258532395 + ... + 258532725.

Almost surely, 2^85574277360 is an apocalyptic number.

85574277360 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 85574277360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181426387968).

85574277360 is an abundant number, since it is smaller than the sum of its proper divisors (277278498576).

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

85574277360 is a wasteful number, since it uses less digits than its factorization.

85574277360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 85574277360 in words is "eighty-five billion, five hundred seventy-four million, two hundred seventy-seven thousand, three hundred sixty".