5085457219584 has 1224 divisors, whose sum is σ = 18709892423040. Its totient is φ = 1376514736128.

The previous prime is 5085457219523. The next prime is 5085457219597. The reversal of 5085457219584 is 4859127545805.

5085457219584 is a `hidden beast` number, since 5 + 0 + 8 + 5 + 4 + 572 + 1 + 9 + 58 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267655643127 + ... + 267655643145.

Almost surely, 2^{5085457219584} is an apocalyptic number.

5085457219584 is a gapful number since it is divisible by the number (54) 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 5085457219584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354946211520).

5085457219584 is an abundant number, since it is smaller than the sum of its proper divisors (13624435203456).

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

5085457219584 is an frugal number, since it uses more digits than its factorization.

5085457219584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 5085457219584 in words is "five trillion, eighty-five billion, four hundred fifty-seven million, two hundred nineteen thousand, five hundred eighty-four".