56067270589440 has 1056 divisors, whose sum is σ = 214920041506560. Its totient is φ = 13513485680640.

The previous prime is 56067270589439. The next prime is 56067270589481. The reversal of 56067270589440 is 4498507276065.

56067270589440 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 7 + 2 + 7 + 0 + 589 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10978511367 + ... + 10978516473.

Almost surely, 2^{56067270589440} 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 56067270589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107460020753280).

56067270589440 is an abundant number, since it is smaller than the sum of its proper divisors (158852770917120).

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

56067270589440 is a wasteful number, since it uses less digits than its factorization.

56067270589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 56067270589440 in words is "fifty-six trillion, sixty-seven billion, two hundred seventy million, five hundred eighty-nine thousand, four hundred forty".