5557113760320 has 280 divisors, whose sum is σ = 19963359812088. Its totient is φ = 1467224064000.

The previous prime is 5557113760309. The next prime is 5557113760337. The reversal of 5557113760320 is 230673117555.

5557113760320 is a `hidden beast` number, since 5 + 5 + 5 + 7 + 1 + 1 + 37 + 603 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1995348354624 + 3561765405696 = 1412568^2 + 1887264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1556560 + ... + 3679280.

Almost surely, 2^{5557113760320} 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 5557113760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981679906044).

5557113760320 is an abundant number, since it is smaller than the sum of its proper divisors (14406246051768).

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

5557113760320 is a wasteful number, since it uses less digits than its factorization.

5557113760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122851 (or 2122832 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

Adding to 5557113760320 its reverse (230673117555), we get a palindrome (5787786877875).

The spelling of 5557113760320 in words is "five trillion, five hundred fifty-seven billion, one hundred thirteen million, seven hundred sixty thousand, three hundred twenty".