52350254400000 has 480 divisors, whose sum is σ = 178028967916800. Its totient is φ = 13662986240000.

The previous prime is 52350254399981. The next prime is 52350254400023. The reversal of 52350254400000 is 445205325.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×52350254400000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225483976 + ... + 225716024.

It is an arithmetic number, because the mean of its divisors is an integer number (370893683160).

Almost surely, 2^{52350254400000} is an apocalyptic number.

52350254400000 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 52350254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89014483958400).

52350254400000 is an abundant number, since it is smaller than the sum of its proper divisors (125678713516800).

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

52350254400000 is an frugal number, since it uses more digits than its factorization.

52350254400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232142 (or 232106 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 52350254400000 its reverse (445205325), we get a palindrome (52350699605325).

The spelling of 52350254400000 in words is "fifty-two trillion, three hundred fifty billion, two hundred fifty-four million, four hundred thousand".