50463129600 has 945 divisors, whose sum is σ = 203174699763. Its totient is φ = 12421693440.

The previous prime is 50463129581. The next prime is 50463129611. The reversal of 50463129600 is 692136405.

It is a happy number.

The square root of 50463129600 is 224640.

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

50463129600 is a `hidden beast` number, since 5 + 0 + 46 + 3 + 1 + 2 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13006946304 + 37456183296 = 114048^2 + 193536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3881779194 + ... + 3881779206.

Almost surely, 2^50463129600 is an apocalyptic number.

50463129600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50463129600 is the 224640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50463129600

50463129600 is an abundant number, since it is smaller than the sum of its proper divisors (152711570163).

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

50463129600 is an frugal number, since it uses more digits than its factorization.

50463129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 50463129600 by its sum of digits (36), we get a square (1816672665600 = 1347840²).

50463129600 divided by its sum of digits (36) gives a square (1401753600 = 37440²).

The spelling of 50463129600 in words is "fifty billion, four hundred sixty-three million, one hundred twenty-nine thousand, six hundred".