561527366400 has 1296 divisors, whose sum is σ = 2695778292480. Its totient is φ = 107694489600.

The previous prime is 561527366399. The next prime is 561527366419. The reversal of 561527366400 is 4663725165.

561527366400 is a `hidden beast` number, since 5 + 61 + 527 + 3 + 6 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×561527366400² (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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57652731 + ... + 57662469.

Almost surely, 2^561527366400 is an apocalyptic number.

561527366400 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 561527366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347889146240).

561527366400 is an abundant number, since it is smaller than the sum of its proper divisors (2134250926080).

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

561527366400 is a wasteful number, since it uses less digits than its factorization.

561527366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9802 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 561527366400 in words is "five hundred sixty-one billion, five hundred twenty-seven million, three hundred sixty-six thousand, four hundred".