56542067657586 has 384 divisors, whose sum is σ = 151839567360000. Its totient is φ = 15147496336896.

The previous prime is 56542067657557. The next prime is 56542067657623. The reversal of 56542067657586 is 68575676024565.

56542067657586 is a `hidden beast` number, since 5 + 6 + 5 + 42 + 0 + 6 + 7 + 6 + 575 + 8 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59706512365 + ... + 59706513311.

It is an arithmetic number, because the mean of its divisors is an integer number (395415540000).

Almost surely, 2^{56542067657586} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56542067657586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75919783680000).

56542067657586 is an abundant number, since it is smaller than the sum of its proper divisors (95297499702414).

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

56542067657586 is a wasteful number, since it uses less digits than its factorization.

56542067657586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 2540160000, while the sum is 72.

The spelling of 56542067657586 in words is "fifty-six trillion, five hundred forty-two billion, sixty-seven million, six hundred fifty-seven thousand, five hundred eighty-six".