2858864131200 has 768 divisors, whose sum is σ = 11759677332480. Its totient is φ = 593049600000.

The previous prime is 2858864131183. The next prime is 2858864131229. The reversal of 2858864131200 is 21314688582.

It is a super-3 number, since 3×2858864131200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2858864131200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488608275 + ... + 488614125.

It is an arithmetic number, because the mean of its divisors is an integer number (15312079860).

Almost surely, 2^{2858864131200} is an apocalyptic number.

2858864131200 is a gapful number since it is divisible by the number (20) 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 2858864131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879838666240).

2858864131200 is an abundant number, since it is smaller than the sum of its proper divisors (8900813201280).

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

2858864131200 is a wasteful number, since it uses less digits than its factorization.

2858864131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 2858864131200 in words is "two trillion, eight hundred fifty-eight billion, eight hundred sixty-four million, one hundred thirty-one thousand, two hundred".