56258721398880 has 1152 divisors, whose sum is σ = 266082515951616. Its totient is φ = 10442782310400.

The previous prime is 56258721398809. The next prime is 56258721398921. The reversal of 56258721398880 is 8889312785265.

It is a happy number.

56258721398880 is a `hidden beast` number, since 5 + 6 + 2 + 587 + 2 + 1 + 39 + 8 + 8 + 8 + 0 = 666.

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 = 56258721398799 and 56258721398808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44055132 + ... + 45314148.

It is an arithmetic number, because the mean of its divisors is an integer number (230974406208).

Almost surely, 2^{56258721398880} 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 56258721398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133041257975808).

56258721398880 is an abundant number, since it is smaller than the sum of its proper divisors (209823794552736).

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

56258721398880 is a wasteful number, since it uses less digits than its factorization.

56258721398880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259100 (or 1259089 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 56258721398880 in words is "fifty-six trillion, two hundred fifty-eight billion, seven hundred twenty-one million, three hundred ninety-eight thousand, eight hundred eighty".