85582587734280 has 512 divisors, whose sum is σ = 351265909478400. Its totient is φ = 18048867213312.

The previous prime is 85582587734243. The next prime is 85582587734323. The reversal of 85582587734280 is 8243778528558.

85582587734280 is a `hidden beast` number, since 8 + 5 + 5 + 8 + 2 + 587 + 7 + 34 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85582587734199 and 85582587734208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219657724 + ... + 220046996.

It is an arithmetic number, because the mean of its divisors is an integer number (686066229450).

Almost surely, 2^{85582587734280} 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 85582587734280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175632954739200).

85582587734280 is an abundant number, since it is smaller than the sum of its proper divisors (265683321744120).

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

85582587734280 is a wasteful number, since it uses less digits than its factorization.

85582587734280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391550 (or 391540 counting only the distinct ones).

The product of its (nonzero) digits is 1204224000, while the sum is 72.

The spelling of 85582587734280 in words is "eighty-five trillion, five hundred eighty-two billion, five hundred eighty-seven million, seven hundred thirty-four thousand, two hundred eighty".