4972986585 has 48 divisors (see below), whose sum is σ = 9858461184. Its totient is φ = 2271701376.

The previous prime is 4972986581. The next prime is 4972986587. The reversal of 4972986585 is 5856892794.

4972986585 is a `hidden beast` number, since 49 + 7 + 2 + 9 + 8 + 6 + 585 = 666.

4972986585 is a nontrivial binomial coefficient, being equal to C(99730, 2).

It is not a de Polignac number, because 4972986585 - 2² = 4972986581 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4972986581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493659 + ... + 503631.

It is an arithmetic number, because the mean of its divisors is an integer number (205384608).

Almost surely, 2^4972986585 is an apocalyptic number.

4972986585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4972986585 is the 99729-th triangular number and also the 49865-th hexagonal number.

It is an amenable number.

4972986585 is a deficient number, since it is larger than the sum of its proper divisors (4885474599).

4972986585 is a wasteful number, since it uses less digits than its factorization.

4972986585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11574 (or 11571 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 4972986585 is about 70519.4057334575. The cubic root of 4972986585 is about 1706.8908981494.

The spelling of 4972986585 in words is "four billion, nine hundred seventy-two million, nine hundred eighty-six thousand, five hundred eighty-five".