56758527221760 has 5376 divisors, whose sum is σ = 274709472952320. Its totient is φ = 10987147100160.

The previous prime is 56758527221731. The next prime is 56758527221777. The reversal of 56758527221760 is 6712272585765.

56758527221760 is a `hidden beast` number, since 5 + 6 + 7 + 585 + 27 + 2 + 21 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 502287851464 + ... + 502287851576.

It is an arithmetic number, because the mean of its divisors is an integer number (51099232320).

Almost surely, 2^{56758527221760} 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 56758527221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137354736476160).

56758527221760 is an abundant number, since it is smaller than the sum of its proper divisors (217950945730560).

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

56758527221760 is a wasteful number, since it uses less digits than its factorization.

56758527221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 56758527221760 in words is "fifty-six trillion, seven hundred fifty-eight billion, five hundred twenty-seven million, two hundred twenty-one thousand, seven hundred sixty".