50564614374400 has 495 divisors, whose sum is σ = 146381538793749. Its totient is φ = 17317325168640.

The previous prime is 50564614374389. The next prime is 50564614374427. The reversal of 50564614374400 is 447341646505.

The square root of 50564614374400 is 7110880.

It is a perfect power (a square), and thus also a powerful number.

50564614374400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18203261174784 + 32361353199616 = 4266528^2 + 5688704^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 44 ways as a sum of consecutive naturals, for example, 55749298747 + ... + 55749299653.

Almost surely, 2^{50564614374400} is an apocalyptic number.

50564614374400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50564614374400 is the 7110880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50564614374400

50564614374400 is an abundant number, since it is smaller than the sum of its proper divisors (95816924419349).

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

50564614374400 is an frugal number, since it uses more digits than its factorization.

50564614374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

50564614374400 divided by its sum of digits (49) gives a square (1031930905600 = 1015840²).

The spelling of 50564614374400 in words is "fifty trillion, five hundred sixty-four billion, six hundred fourteen million, three hundred seventy-four thousand, four hundred".