557246622240 has 576 divisors, whose sum is σ = 2434925525760. Its totient is φ = 112661176320.

The previous prime is 557246622223. The next prime is 557246622259. The reversal of 557246622240 is 42226642755.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 4034646 + ... + 4170474.

It is an arithmetic number, because the mean of its divisors is an integer number (4227301260).

Almost surely, 2^557246622240 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 557246622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217462762880).

557246622240 is an abundant number, since it is smaller than the sum of its proper divisors (1877678903520).

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

557246622240 is a wasteful number, since it uses less digits than its factorization.

557246622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135905 (or 135894 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 557246622240 in words is "five hundred fifty-seven billion, two hundred forty-six million, six hundred twenty-two thousand, two hundred forty".