50531625273600 has 729 divisors, whose sum is σ = 187772139203467. Its totient is φ = 13462816481280.

The previous prime is 50531625273523. The next prime is 50531625273601. The reversal of 50531625273600 is 637252613505.

The square root of 50531625273600 is 7108560.

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

50531625273600 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 1 + 62 + 527 + 3 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6432675657984 + 44098949615616 = 2536272^2 + 6640704^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50531625273601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46063468252 + ... + 46063469348.

Almost surely, 2^{50531625273600} is an apocalyptic number.

50531625273600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50531625273600 is the 7108560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50531625273600

50531625273600 is an abundant number, since it is smaller than the sum of its proper divisors (137240513929867).

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

50531625273600 is an frugal number, since it uses more digits than its factorization.

50531625273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 50531625273600 in words is "fifty trillion, five hundred thirty-one billion, six hundred twenty-five million, two hundred seventy-three thousand, six hundred".