50879974320400 has 135 divisors (see below), whose sum is σ = 123758444237871. Its totient is φ = 20102105771520.

The previous prime is 50879974320353. The next prime is 50879974320403. The reversal of 50879974320400 is 402347997805.

The square root of 50879974320400 is 7133020.

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 571481569296 + 50308492751104 = 755964^2 + 7092848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50879974320403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11840811052 + ... + 11840815348.

Almost surely, 2^{50879974320400} is an apocalyptic number.

50879974320400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50879974320400 is the 7133020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50879974320400

50879974320400 is an abundant number, since it is smaller than the sum of its proper divisors (72878469917471).

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

50879974320400 is an frugal number, since it uses more digits than its factorization.

50879974320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 50879974320400 in words is "fifty trillion, eight hundred seventy-nine billion, nine hundred seventy-four million, three hundred twenty thousand, four hundred".