52145352000 has 672 divisors, whose sum is σ = 214863517440. Its totient is φ = 11825049600.

The previous prime is 52145351953. The next prime is 52145352011. The reversal of 52145352000 is 25354125.

It is a happy number.

52145352000 is a `hidden beast` number, since 5 + 2 + 1 + 453 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79127671 + ... + 79128329.

Almost surely, 2^52145352000 is an apocalyptic number.

52145352000 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 52145352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107431758720).

52145352000 is an abundant number, since it is smaller than the sum of its proper divisors (162718165440).

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

52145352000 is a wasteful number, since it uses less digits than its factorization.

52145352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 52145352000 in words is "fifty-two billion, one hundred forty-five million, three hundred fifty-two thousand".