427522812514560 has 3456 divisors, whose sum is σ = 1833350658048000. Its totient is φ = 95320133959680.

The previous prime is 427522812514543. The next prime is 427522812514579. The reversal of 427522812514560 is 65415218225724.

427522812514560 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 2 + 28 + 1 + 2 + 51 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 427522812514497 and 427522812514506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1164912295497 + ... + 1164912295863.

It is an arithmetic number, because the mean of its divisors is an integer number (530483408000).

Almost surely, 2^{427522812514560} is an apocalyptic number.

427522812514560 is a gapful number since it is divisible by the number (40) 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 427522812514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916675329024000).

427522812514560 is an abundant number, since it is smaller than the sum of its proper divisors (1405827845533440).

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

427522812514560 is an equidigital number, since it uses as much as digits as its factorization.

427522812514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 427522812514560 in words is "four hundred twenty-seven trillion, five hundred twenty-two billion, eight hundred twelve million, five hundred fourteen thousand, five hundred sixty".