5577487382880 has 1152 divisors, whose sum is σ = 23997302784000. Its totient is φ = 1175041437696.

The previous prime is 5577487382879. The next prime is 5577487382881. The reversal of 5577487382880 is 882837847755.

5577487382880 is a `hidden beast` number, since 5 + 577 + 48 + 7 + 3 + 8 + 2 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5577487382879) and next prime (5577487382881).

It is a super-2 number, since 2×5577487382880² (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 = 5577487382799 and 5577487382808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5577487382881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347217729 + ... + 347233791.

It is an arithmetic number, because the mean of its divisors is an integer number (20830992000).

Almost surely, 2^{5577487382880} 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 5577487382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998651392000).

5577487382880 is an abundant number, since it is smaller than the sum of its proper divisors (18419815401120).

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

5577487382880 is a wasteful number, since it uses less digits than its factorization.

5577487382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16161 (or 16136 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 5577487382880 in words is "five trillion, five hundred seventy-seven billion, four hundred eighty-seven million, three hundred eighty-two thousand, eight hundred eighty".