2056614127200 has 2304 divisors, whose sum is σ = 8823035289600. Its totient is φ = 458647142400.

The previous prime is 2056614127091. The next prime is 2056614127201. The reversal of 2056614127200 is 27214166502.

It is a happy number.

2056614127200 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 614 + 12 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056614127201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8002389472 + ... + 8002389728.

It is an arithmetic number, because the mean of its divisors is an integer number (3829442400).

Almost surely, 2^{2056614127200} is an apocalyptic number.

2056614127200 is a gapful number since it is divisible by the number (20) 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 2056614127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411517644800).

2056614127200 is an abundant number, since it is smaller than the sum of its proper divisors (6766421162400).

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

2056614127200 is a wasteful number, since it uses less digits than its factorization.

2056614127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2056614127200 in words is "two trillion, fifty-six billion, six hundred fourteen million, one hundred twenty-seven thousand, two hundred".