564610221151650 has 72 divisors (see below), whose sum is σ = 1516932728010180. Its totient is φ = 150561408798720.

The previous prime is 564610221151631. The next prime is 564610221151661. The reversal of 564610221151650 is 56151122016465.

564610221151650 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 102 + 21 + 1 + 516 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 251443719578529 + 313166501573121 = 15856977^2 + 17696511^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 564610221151596 and 564610221151605.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46569786 + ... + 57427914.

Almost surely, 2^{564610221151650} is an apocalyptic number.

564610221151650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564610221151650 is an abundant number, since it is smaller than the sum of its proper divisors (952322506858530).

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

564610221151650 is a wasteful number, since it uses less digits than its factorization.

564610221151650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10973700 (or 10973692 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 564610221151650 in words is "five hundred sixty-four trillion, six hundred ten billion, two hundred twenty-one million, one hundred fifty-one thousand, six hundred fifty".