561312151200 has 216 divisors, whose sum is σ = 2083502584800. Its totient is φ = 141805140480.

The previous prime is 561312151159. The next prime is 561312151261. The reversal of 561312151200 is 2151213165.

561312151200 is a `hidden beast` number, since 5 + 613 + 1 + 21 + 5 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×561312151200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1914780 + ... + 2188379.

It is an arithmetic number, because the mean of its divisors is an integer number (9645845300).

Almost surely, 2^561312151200 is an apocalyptic number.

561312151200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561312151200 is an abundant number, since it is smaller than the sum of its proper divisors (1522190433600).

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

561312151200 is a wasteful number, since it uses less digits than its factorization.

561312151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103204 (or 4103188 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 561312151200 its reverse (2151213165), we get a palindrome (563463364365).

The spelling of 561312151200 in words is "five hundred sixty-one billion, three hundred twelve million, one hundred fifty-one thousand, two hundred".