5085697104000 has 1280 divisors, whose sum is σ = 19359029289600. Its totient is φ = 1322796441600.

The previous prime is 5085697103983. The next prime is 5085697104097. The reversal of 5085697104000 is 4017965805.

5085697104000 is a `hidden beast` number, since 508 + 5 + 6 + 97 + 10 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17357327854 + ... + 17357328146.

Almost surely, 2^{5085697104000} is an apocalyptic number.

5085697104000 is a gapful number since it is divisible by the number (50) 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 5085697104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679514644800).

5085697104000 is an abundant number, since it is smaller than the sum of its proper divisors (14273332185600).

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

5085697104000 is a wasteful number, since it uses less digits than its factorization.

5085697104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5085697104000 in words is "five trillion, eighty-five billion, six hundred ninety-seven million, one hundred four thousand".