52128645120000 has 1100 divisors, whose sum is σ = 195011987279076. Its totient is φ = 13872660480000.

The previous prime is 52128645119917. The next prime is 52128645120029. The reversal of 52128645120000 is 2154682125.

52128645120000 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 8 + 645 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 106168319755 + ... + 106168320245.

Almost surely, 2^{52128645120000} is an apocalyptic number.

52128645120000 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 52128645120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97505993639538).

52128645120000 is an abundant number, since it is smaller than the sum of its proper divisors (142883342159076).

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

52128645120000 is an frugal number, since it uses more digits than its factorization.

52128645120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 52128645120000 in words is "fifty-two trillion, one hundred twenty-eight billion, six hundred forty-five million, one hundred twenty thousand".