561475212480 has 1792 divisors, whose sum is σ = 2590634188800. Its totient is φ = 111237857280.

The previous prime is 561475212451. The next prime is 561475212511. The reversal of 561475212480 is 84212574165.

561475212480 is a `hidden beast` number, since 5 + 6 + 1 + 47 + 521 + 2 + 4 + 80 = 666.

It is a super-2 number, since 2×561475212480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1103094466 + ... + 1103094974.

It is an arithmetic number, because the mean of its divisors is an integer number (1445666400).

Almost surely, 2^561475212480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561475212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295317094400).

561475212480 is an abundant number, since it is smaller than the sum of its proper divisors (2029158976320).

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

561475212480 is a wasteful number, since it uses less digits than its factorization.

561475212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 561475212480 in words is "five hundred sixty-one billion, four hundred seventy-five million, two hundred twelve thousand, four hundred eighty".