556217640000 has 945 divisors, whose sum is σ = 2209361363209. Its totient is φ = 133647360000.

The previous prime is 556217639983. The next prime is 556217640029. The reversal of 556217640000 is 46712655.

It is a happy number.

The square root of 556217640000 is 745800.

It is a perfect power (a square), and thus also a powerful number.

556217640000 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 1 + 7 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 543687971904 + 12529668096 = 737352^2 + 111936^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4922279944 + ... + 4922280056.

Almost surely, 2^556217640000 is an apocalyptic number.

556217640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

556217640000 is the 745800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556217640000

556217640000 is an abundant number, since it is smaller than the sum of its proper divisors (1653143723209).

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

556217640000 is a wasteful number, since it uses less digits than its factorization.

556217640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 556217640000 by its sum of digits (36), we get a square (20023835040000 = 4474800²).

556217640000 divided by its sum of digits (36) gives a square (15450490000 = 124300²).

The spelling of 556217640000 in words is "five hundred fifty-six billion, two hundred seventeen million, six hundred forty thousand".