5877834842880 has 1296 divisors, whose sum is σ = 27793189386144. Its totient is φ = 1127401390080.

The previous prime is 5877834842863. The next prime is 5877834842897. The reversal of 5877834842880 is 882484387785.

5877834842880 is a `hidden beast` number, since 5 + 8 + 7 + 7 + 83 + 48 + 428 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5877834842863) and next prime (5877834842897).

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

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 = 5877834842799 and 5877834842808.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80684232 + ... + 80757048.

Almost surely, 2^{5877834842880} 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 5877834842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896594693072).

5877834842880 is an abundant number, since it is smaller than the sum of its proper divisors (21915354543264).

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

5877834842880 is a wasteful number, since it uses less digits than its factorization.

5877834842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72882 (or 72858 counting only the distinct ones).

The product of its (nonzero) digits is 770703360, while the sum is 72.

The spelling of 5877834842880 in words is "five trillion, eight hundred seventy-seven billion, eight hundred thirty-four million, eight hundred forty-two thousand, eight hundred eighty".