52146959155200 has 4320 divisors, whose sum is σ = 253738183716864. Its totient is φ = 10273695989760.

The previous prime is 52146959155153. The next prime is 52146959155283. The reversal of 52146959155200 is 255195964125.

52146959155200 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 69 + 59 + 1 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 410605977537 + ... + 410605977663.

Almost surely, 2^{52146959155200} is an apocalyptic number.

52146959155200 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 52146959155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126869091858432).

52146959155200 is an abundant number, since it is smaller than the sum of its proper divisors (201591224561664).

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

52146959155200 is a wasteful number, since it uses less digits than its factorization.

52146959155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 52146959155200 in words is "fifty-two trillion, one hundred forty-six billion, nine hundred fifty-nine million, one hundred fifty-five thousand, two hundred".