2586878368830 has 192 divisors, whose sum is σ = 7917249000960. Its totient is φ = 573646033152.

The previous prime is 2586878368819. The next prime is 2586878368861. The reversal of 2586878368830 is 388638786852.

2586878368830 is a `hidden beast` number, since 2 + 586 + 8 + 7 + 8 + 3 + 6 + 8 + 8 + 30 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7928661 + ... + 8248479.

It is an arithmetic number, because the mean of its divisors is an integer number (41235671880).

Almost surely, 2^{2586878368830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2586878368830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958624500480).

2586878368830 is an abundant number, since it is smaller than the sum of its proper divisors (5330370632130).

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

2586878368830 is a wasteful number, since it uses less digits than its factorization.

2586878368830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320223 (or 320220 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 2586878368830 in words is "two trillion, five hundred eighty-six billion, eight hundred seventy-eight million, three hundred sixty-eight thousand, eight hundred thirty".