5626121068800 has 756 divisors, whose sum is σ = 21977969413680. Its totient is φ = 1421313454080.

The previous prime is 5626121068727. The next prime is 5626121068807. The reversal of 5626121068800 is 88601216265.

5626121068800 is a `hidden beast` number, since 5 + 626 + 1 + 2 + 10 + 6 + 8 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5626121068807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 88614667 + ... + 88678133.

Almost surely, 2^{5626121068800} is an apocalyptic number.

5626121068800 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 5626121068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988984706840).

5626121068800 is an abundant number, since it is smaller than the sum of its proper divisors (16351848344880).

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

5626121068800 is an equidigital number, since it uses as much as digits as its factorization.

5626121068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63530 (or 63496 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5626121068800 in words is "five trillion, six hundred twenty-six billion, one hundred twenty-one million, sixty-eight thousand, eight hundred".