49500793062400 has 99 divisors (see below), whose sum is σ = 122704814886271. Its totient is φ = 19799866941440.

The previous prime is 49500793062341. The next prime is 49500793062419. The reversal of 49500793062400 is 426039700594.

The square root of 49500793062400 is 7035680.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1256766555136 + 48244026507264 = 1121056^2 + 6945792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1125686814 + ... + 1125730786.

Almost surely, 2^{49500793062400} is an apocalyptic number.

49500793062400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49500793062400 is the 7035680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49500793062400

49500793062400 is an abundant number, since it is smaller than the sum of its proper divisors (73204021823871).

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

49500793062400 is an frugal number, since it uses more digits than its factorization.

49500793062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87976 (or 43980 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 49500793062400 in words is "forty-nine trillion, five hundred billion, seven hundred ninety-three million, sixty-two thousand, four hundred".