561527333760 has 512 divisors, whose sum is σ = 1899052646400. Its totient is φ = 140916326400.

The previous prime is 561527333737. The next prime is 561527333803. The reversal of 561527333760 is 67333725165.

It is a super-2 number, since 2×561527333760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506336086 + ... + 506337194.

It is an arithmetic number, because the mean of its divisors is an integer number (3709087200).

Almost surely, 2^561527333760 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 561527333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949526323200).

561527333760 is an abundant number, since it is smaller than the sum of its proper divisors (1337525312640).

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

561527333760 is a wasteful number, since it uses less digits than its factorization.

561527333760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 48.

The spelling of 561527333760 in words is "five hundred sixty-one billion, five hundred twenty-seven million, three hundred thirty-three thousand, seven hundred sixty".