564212390631552 has 1536 divisors, whose sum is σ = 1967975792640000. Its totient is φ = 158455779655680.

The previous prime is 564212390631469. The next prime is 564212390631569. The reversal of 564212390631552 is 255136093212465.

564212390631552 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 1 + 23 + 9 + 0 + 63 + 1 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80155187649 + ... + 80155194687.

It is an arithmetic number, because the mean of its divisors is an integer number (1281234240000).

Almost surely, 2^{564212390631552} is an apocalyptic number.

564212390631552 is a gapful number since it is divisible by the number (52) 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 564212390631552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983987896320000).

564212390631552 is an abundant number, since it is smaller than the sum of its proper divisors (1403763402008448).

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

564212390631552 is a wasteful number, since it uses less digits than its factorization.

564212390631552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 564212390631552 in words is "five hundred sixty-four trillion, two hundred twelve billion, three hundred ninety million, six hundred thirty-one thousand, five hundred fifty-two".