52014590428800 has 96 divisors (see below), whose sum is σ = 171323057256480. Its totient is φ = 13870557445120.

The previous prime is 52014590428771. The next prime is 52014590428807. The reversal of 52014590428800 is 882409541025.

52014590428800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52014590428800.

It is not an unprimeable number, because it can be changed into a prime (52014590428807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2709083652 + ... + 2709102851.

It is an arithmetic number, because the mean of its divisors is an integer number (1784615179755).

Almost surely, 2^{52014590428800} is an apocalyptic number.

52014590428800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52014590428800 is an abundant number, since it is smaller than the sum of its proper divisors (119308466827680).

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

52014590428800 is a wasteful number, since it uses less digits than its factorization.

52014590428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418186530 (or 5418186513 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

Adding to 52014590428800 its reverse (882409541025), we get a palindrome (52896999969825).

The spelling of 52014590428800 in words is "fifty-two trillion, fourteen billion, five hundred ninety million, four hundred twenty-eight thousand, eight hundred".