52122669873120 has 3888 divisors, whose sum is σ = 243676471645152. Its totient is φ = 10309483008000.

The previous prime is 52122669873101. The next prime is 52122669873133. The reversal of 52122669873120 is 2137896622125.

52122669873120 is a `hidden beast` number, since 5 + 21 + 226 + 6 + 9 + 87 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 854469997890 + ... + 854469997950.

Almost surely, 2^{52122669873120} 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 52122669873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121838235822576).

52122669873120 is an abundant number, since it is smaller than the sum of its proper divisors (191553801772032).

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

52122669873120 is an equidigital number, since it uses as much as digits as its factorization.

52122669873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 52122669873120 in words is "fifty-two trillion, one hundred twenty-two billion, six hundred sixty-nine million, eight hundred seventy-three thousand, one hundred twenty".