5878830700800 has 540 divisors, whose sum is σ = 21756962434900. Its totient is φ = 1566228234240.

The previous prime is 5878830700759. The next prime is 5878830700819. The reversal of 5878830700800 is 80070388785.

It can be written as a sum of positive squares in 6 ways, for example, as 298955245824 + 5579875454976 = 546768^2 + 2362176^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 628814526 + ... + 628823874.

Almost surely, 2^{5878830700800} is an apocalyptic number.

5878830700800 is a gapful number since it is divisible by the number (50) 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 5878830700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878481217450).

5878830700800 is an abundant number, since it is smaller than the sum of its proper divisors (15878131734100).

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

5878830700800 is a wasteful number, since it uses less digits than its factorization.

5878830700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10600 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 5878830700800 in words is "five trillion, eight hundred seventy-eight billion, eight hundred thirty million, seven hundred thousand, eight hundred".