56123501280 has 384 divisors, whose sum is σ = 220802319360. Its totient is φ = 11641405440.

The previous prime is 56123501261. The next prime is 56123501281. The reversal of 56123501280 is 8210532165.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56123501281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29899702 + ... + 29901578.

It is an arithmetic number, because the mean of its divisors is an integer number (575006040).

Almost surely, 2^56123501280 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 56123501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110401159680).

56123501280 is an abundant number, since it is smaller than the sum of its proper divisors (164678818080).

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

56123501280 is a wasteful number, since it uses less digits than its factorization.

56123501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 56123501280 in words is "fifty-six billion, one hundred twenty-three million, five hundred one thousand, two hundred eighty".