56271442147200 has 2304 divisors, whose sum is σ = 248552263065600. Its totient is φ = 11845951488000.

The previous prime is 56271442147189. The next prime is 56271442147237. The reversal of 56271442147200 is 274124417265.

56271442147200 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 14 + 421 + 4 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12867924214 + ... + 12867928586.

It is an arithmetic number, because the mean of its divisors is an integer number (107878586400).

Almost surely, 2^{56271442147200} is an apocalyptic number.

56271442147200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56271442147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124276131532800).

56271442147200 is an abundant number, since it is smaller than the sum of its proper divisors (192280820918400).

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

56271442147200 is a wasteful number, since it uses less digits than its factorization.

56271442147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 56271442147200 in words is "fifty-six trillion, two hundred seventy-one billion, four hundred forty-two million, one hundred forty-seven thousand, two hundred".