557739786240 has 1920 divisors, whose sum is σ = 2600053585920. Its totient is φ = 110075314176.

The previous prime is 557739786239. The next prime is 557739786287. The reversal of 557739786240 is 42687937755.

557739786240 is a `hidden beast` number, since 5 + 577 + 39 + 7 + 8 + 6 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×557739786240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3421716399 + ... + 3421716561.

It is an arithmetic number, because the mean of its divisors is an integer number (1354194576).

Almost surely, 2^557739786240 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 557739786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300026792960).

557739786240 is an abundant number, since it is smaller than the sum of its proper divisors (2042313799680).

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

557739786240 is a wasteful number, since it uses less digits than its factorization.

557739786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 557739786240 in words is "five hundred fifty-seven billion, seven hundred thirty-nine million, seven hundred eighty-six thousand, two hundred forty".