50512718272900 has 243 divisors, whose sum is σ = 124130088128781. Its totient is φ = 17832438074880.

The previous prime is 50512718272843. The next prime is 50512718272901. The reversal of 50512718272900 is 927281721505.

The square root of 50512718272900 is 7107230.

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

It can be written as a sum of positive squares in 13 ways, for example, as 49418903500164 + 1093814772736 = 7029858^2 + 1045856^2 .

It is a super-3 number, since 3×50512718272900³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50512718272901) 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, 21250616512 + ... + 21250618888.

Almost surely, 2^{50512718272900} is an apocalyptic number.

50512718272900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50512718272900 is the 7107230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50512718272900

50512718272900 is an abundant number, since it is smaller than the sum of its proper divisors (73617369855881).

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

50512718272900 is a wasteful number, since it uses less digits than its factorization.

50512718272900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 49.

The spelling of 50512718272900 in words is "fifty trillion, five hundred twelve billion, seven hundred eighteen million, two hundred seventy-two thousand, nine hundred".