52249666560 has 704 divisors, whose sum is σ = 212940403200. Its totient is φ = 10635706368.

The previous prime is 52249666529. The next prime is 52249666613. The reversal of 52249666560 is 6566694225.

It is a super-3 number, since 3×52249666560³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40534396 + ... + 40535684.

Almost surely, 2^52249666560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52249666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106470201600).

52249666560 is an abundant number, since it is smaller than the sum of its proper divisors (160690736640).

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

52249666560 is a wasteful number, since it uses less digits than its factorization.

52249666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 52249666560 in words is "fifty-two billion, two hundred forty-nine million, six hundred sixty-six thousand, five hundred sixty".