556115592090240 has 6144 divisors, whose sum is σ = 2664892016640000. Its totient is φ = 108307229442048.

The previous prime is 556115592090217. The next prime is 556115592090251. The reversal of 556115592090240 is 42090295511655.

556115592090240 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 1 + 5 + 592 + 0 + 9 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1602638593747 + ... + 1602638594093.

It is an arithmetic number, because the mean of its divisors is an integer number (433738935000).

Almost surely, 2^{556115592090240} 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 556115592090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332446008320000).

556115592090240 is an abundant number, since it is smaller than the sum of its proper divisors (2108776424549760).

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

556115592090240 is a wasteful number, since it uses less digits than its factorization.

556115592090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 556115592090240 in words is "five hundred fifty-six trillion, one hundred fifteen billion, five hundred ninety-two million, ninety thousand, two hundred forty".