557251554240 has 336 divisors, whose sum is σ = 1948527000576. Its totient is φ = 146144409600.

The previous prime is 557251554217. The next prime is 557251554271. The reversal of 557251554240 is 42455152755.

557251554240 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 51 + 554 + 2 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88127719 + ... + 88134041.

Almost surely, 2^557251554240 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 557251554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974263500288).

557251554240 is an abundant number, since it is smaller than the sum of its proper divisors (1391275446336).

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

557251554240 is a wasteful number, since it uses less digits than its factorization.

557251554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 1400000, while the sum is 45.

The spelling of 557251554240 in words is "five hundred fifty-seven billion, two hundred fifty-one million, five hundred fifty-four thousand, two hundred forty".