52456463241000 has 512 divisors, whose sum is σ = 201717671500800. Its totient is φ = 11052086169600.

The previous prime is 52456463240983. The next prime is 52456463241031. The reversal of 52456463241000 is 14236465425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193421494 + ... + 193692506.

It is an arithmetic number, because the mean of its divisors is an integer number (393979827150).

Almost surely, 2^{52456463241000} is an apocalyptic number.

52456463241000 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 52456463241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100858835750400).

52456463241000 is an abundant number, since it is smaller than the sum of its proper divisors (149261208259800).

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

52456463241000 is a wasteful number, since it uses less digits than its factorization.

52456463241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271766 (or 271752 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 52456463241000 in words is "fifty-two trillion, four hundred fifty-six billion, four hundred sixty-three million, two hundred forty-one thousand".