56450699366400 has 1092 divisors, whose sum is σ = 210373135116612. Its totient is φ = 15017827368960.

The previous prime is 56450699366377. The next prime is 56450699366423. The reversal of 56450699366400 is 466399605465.

It is a happy number.

56450699366400 is a `hidden beast` number, since 5 + 6 + 4 + 506 + 99 + 36 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56450699366377) and next prime (56450699366423).

It can be written as a sum of positive squares in 6 ways, for example, as 311524724736 + 56139174641664 = 558144^2 + 7492608^2 .

It is a super-2 number, since 2×56450699366400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 50537778642 + ... + 50537779758.

Almost surely, 2^{56450699366400} is an apocalyptic number.

56450699366400 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 56450699366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105186567558306).

56450699366400 is an abundant number, since it is smaller than the sum of its proper divisors (153922435750212).

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

56450699366400 is an equidigital number, since it uses as much as digits as its factorization.

56450699366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 56450699366400 in words is "fifty-six trillion, four hundred fifty billion, six hundred ninety-nine million, three hundred sixty-six thousand, four hundred".