556440192116640 has 480 divisors, whose sum is σ = 2130044112282240. Its totient is φ = 135984492804096.

The previous prime is 556440192116621. The next prime is 556440192116651. The reversal of 556440192116640 is 46611291044655.

556440192116640 is a `hidden beast` number, since 5 + 5 + 6 + 440 + 1 + 92 + 11 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 11538477 + ... + 35298963.

It is an arithmetic number, because the mean of its divisors is an integer number (4437591900588).

Almost surely, 2^{556440192116640} 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 556440192116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065022056141120).

556440192116640 is an abundant number, since it is smaller than the sum of its proper divisors (1573603920165600).

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

556440192116640 is a wasteful number, since it uses less digits than its factorization.

556440192116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23760666 (or 23760649 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 556440192116640 in words is "five hundred fifty-six trillion, four hundred forty billion, one hundred ninety-two million, one hundred sixteen thousand, six hundred forty".