52467145315200 has 3456 divisors, whose sum is σ = 262158283296000. Its totient is φ = 9719444275200.

The previous prime is 52467145315177. The next prime is 52467145315213. The reversal of 52467145315200 is 251354176425.

52467145315200 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 71 + 4 + 53 + 1 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7879129471 + ... + 7879136129.

It is an arithmetic number, because the mean of its divisors is an integer number (75855984750).

Almost surely, 2^{52467145315200} is an apocalyptic number.

52467145315200 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 52467145315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131079141648000).

52467145315200 is an abundant number, since it is smaller than the sum of its proper divisors (209691137980800).

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

52467145315200 is a wasteful number, since it uses less digits than its factorization.

52467145315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 52467145315200 in words is "fifty-two trillion, four hundred sixty-seven billion, one hundred forty-five million, three hundred fifteen thousand, two hundred".