52305412552400 has 120 divisors (see below), whose sum is σ = 148567984849920. Its totient is φ = 17314895162880.

The previous prime is 52305412552387. The next prime is 52305412552423. The reversal of 52305412552400 is 425521450325.

52305412552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 321996464 + ... + 322158863.

It is an arithmetic number, because the mean of its divisors is an integer number (1238066540416).

Almost surely, 2^{52305412552400} is an apocalyptic number.

52305412552400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52305412552400 is an abundant number, since it is smaller than the sum of its proper divisors (96262572297520).

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

52305412552400 is a wasteful number, since it uses less digits than its factorization.

52305412552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644155381 (or 644155370 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

The spelling of 52305412552400 in words is "fifty-two trillion, three hundred five billion, four hundred twelve million, five hundred fifty-two thousand, four hundred".