562486226400 has 720 divisors, whose sum is σ = 2349639363456. Its totient is φ = 128276628480.

The previous prime is 562486226371. The next prime is 562486226507. The reversal of 562486226400 is 4622684265.

562486226400 is a `hidden beast` number, since 562 + 4 + 8 + 6 + 22 + 64 + 0 + 0 = 666.

562486226400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 248118067 + ... + 248120333.

Almost surely, 2^562486226400 is an apocalyptic number.

562486226400 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 562486226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174819681728).

562486226400 is an abundant number, since it is smaller than the sum of its proper divisors (1787153137056).

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

562486226400 is a wasteful number, since it uses less digits than its factorization.

562486226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 562486226400 in words is "five hundred sixty-two billion, four hundred eighty-six million, two hundred twenty-six thousand, four hundred".