56266896880080 has 480 divisors, whose sum is σ = 197042341816320. Its totient is φ = 14373078773760.

The previous prime is 56266896880037. The next prime is 56266896880087. The reversal of 56266896880080 is 8008869866265.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56266896879990 and 56266896880008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56266896880087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2586140562 + ... + 2586162318.

It is an arithmetic number, because the mean of its divisors is an integer number (410504878784).

Almost surely, 2^{56266896880080} 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 56266896880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98521170908160).

56266896880080 is an abundant number, since it is smaller than the sum of its proper divisors (140775444936240).

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

56266896880080 is a wasteful number, since it uses less digits than its factorization.

56266896880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22979 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 56266896880080 in words is "fifty-six trillion, two hundred sixty-six billion, eight hundred ninety-six million, eight hundred eighty thousand, eighty".