10564150590224 has 160 divisors (see below), whose sum is σ = 25789752016896. Its totient is φ = 4072345320960.

The previous prime is 10564150590209. The next prime is 10564150590251. The reversal of 10564150590224 is 42209505146501.

It is a super-2 number, since 2×10564150590224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57330302 + ... + 57514274.

Almost surely, 2^{10564150590224} is an apocalyptic number.

10564150590224 is a gapful number since it is divisible by the number (14) 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 10564150590224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894876008448).

10564150590224 is an abundant number, since it is smaller than the sum of its proper divisors (15225601426672).

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

10564150590224 is a wasteful number, since it uses less digits than its factorization.

10564150590224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184493 (or 184487 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 10564150590224 in words is "ten trillion, five hundred sixty-four billion, one hundred fifty million, five hundred ninety thousand, two hundred twenty-four".