534061663005600 has 576 divisors, whose sum is σ = 1990838200700160. Its totient is φ = 138108741120000.

The previous prime is 534061663005509. The next prime is 534061663005601. The reversal of 534061663005600 is 6500366160435.

534061663005600 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 6 + 1 + 6 + 6 + 30 + 0 + 5 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (534061663005601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90695170 + ... + 96404030.

It is an arithmetic number, because the mean of its divisors is an integer number (3456316320660).

Almost surely, 2^{534061663005600} is an apocalyptic number.

534061663005600 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 534061663005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995419100350080).

534061663005600 is an abundant number, since it is smaller than the sum of its proper divisors (1456776537694560).

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

534061663005600 is a wasteful number, since it uses less digits than its factorization.

534061663005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709022 (or 5709003 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 534061663005600 in words is "five hundred thirty-four trillion, sixty-one billion, six hundred sixty-three million, five thousand, six hundred".