52919985600 has 504 divisors, whose sum is σ = 199679600640. Its totient is φ = 13255280640.

The previous prime is 52919985589. The next prime is 52919985611. The reversal of 52919985600 is 658991925.

52919985600 is a `hidden beast` number, since 5 + 29 + 1 + 9 + 9 + 8 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (52919985589) and next prime (52919985611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34746439 + ... + 34747961.

Almost surely, 2^52919985600 is an apocalyptic number.

52919985600 is a gapful number since it is divisible by the number (50) 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 52919985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99839800320).

52919985600 is an abundant number, since it is smaller than the sum of its proper divisors (146759615040).

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

52919985600 is a wasteful number, since it uses less digits than its factorization.

52919985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 52919985600 in words is "fifty-two billion, nine hundred nineteen million, nine hundred eighty-five thousand, six hundred".