5872767857280 has 384 divisors, whose sum is σ = 22137369508800. Its totient is φ = 1483645870080.

The previous prime is 5872767857273. The next prime is 5872767857303. The reversal of 5872767857280 is 827587672785.

5872767857280 is a `hidden beast` number, since 5 + 8 + 7 + 276 + 78 + 5 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5872767857280² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5872767857199 and 5872767857208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1961140 + ... + 3948620.

Almost surely, 2^{5872767857280} 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 5872767857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068684754400).

5872767857280 is an abundant number, since it is smaller than the sum of its proper divisors (16264601651520).

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

5872767857280 is a wasteful number, since it uses less digits than its factorization.

5872767857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987534 (or 1987510 counting only the distinct ones).

The product of its (nonzero) digits is 737587200, while the sum is 72.

The spelling of 5872767857280 in words is "five trillion, eight hundred seventy-two billion, seven hundred sixty-seven million, eight hundred fifty-seven thousand, two hundred eighty".