869249607054840 has 1536 divisors, whose sum is σ = 3269222498304000. Its totient is φ = 205232227200000.

The previous prime is 869249607054839. The next prime is 869249607054883. The reversal of 869249607054840 is 48450706942968.

869249607054840 is a `hidden beast` number, since 8 + 6 + 9 + 2 + 4 + 9 + 6 + 0 + 70 + 548 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 295763730091 + ... + 295763733029.

It is an arithmetic number, because the mean of its divisors is an integer number (2128400064000).

Almost surely, 2^{869249607054840} 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 869249607054840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634611249152000).

869249607054840 is an abundant number, since it is smaller than the sum of its proper divisors (2399972891249160).

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

869249607054840 is a wasteful number, since it uses less digits than its factorization.

869249607054840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 869249607054840 in words is "eight hundred sixty-nine trillion, two hundred forty-nine billion, six hundred seven million, fifty-four thousand, eight hundred forty".