292653487872 has 216 divisors, whose sum is σ = 859655749680. Its totient is φ = 95723274240.

The previous prime is 292653487843. The next prime is 292653487879. The reversal of 292653487872 is 278784356292.

292653487872 is a `hidden beast` number, since 2 + 9 + 26 + 53 + 487 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (292653487879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89852068 + ... + 89855324.

It is an arithmetic number, because the mean of its divisors is an integer number (3979887730).

Almost surely, 2^292653487872 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 292653487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429827874840).

292653487872 is an abundant number, since it is smaller than the sum of its proper divisors (567002261808).

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

292653487872 is a wasteful number, since it uses less digits than its factorization.

292653487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3982 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 292653487872 in words is "two hundred ninety-two billion, six hundred fifty-three million, four hundred eighty-seven thousand, eight hundred seventy-two".