5577981057600 has 2688 divisors, whose sum is σ = 24817840128000. Its totient is φ = 1065717596160.

The previous prime is 5577981057541. The next prime is 5577981057641. The reversal of 5577981057600 is 67501897755.

It is a happy number.

It is a super-2 number, since 2×5577981057600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 383 ways as a sum of consecutive naturals, for example, 11645054161 + ... + 11645054639.

Almost surely, 2^{5577981057600} is an apocalyptic number.

5577981057600 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 5577981057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408920064000).

5577981057600 is an abundant number, since it is smaller than the sum of its proper divisors (19239859070400).

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

5577981057600 is a wasteful number, since it uses less digits than its factorization.

5577981057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 18522000, while the sum is 60.

The spelling of 5577981057600 in words is "five trillion, five hundred seventy-seven billion, nine hundred eighty-one million, fifty-seven thousand, six hundred".