50920069788900 has 1701 divisors, whose sum is σ = 191117772263691. Its totient is φ = 11763501384960.

The previous prime is 50920069788877. The next prime is 50920069788941. The reversal of 50920069788900 is 988796002905.

The square root of 50920069788900 is 7135830.

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 13124723313636 + 37795346475264 = 3622806^2 + 6147792^2 .

It is a super-3 number, since 3×50920069788900³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 475888502647 + ... + 475888502753.

Almost surely, 2^{50920069788900} is an apocalyptic number.

50920069788900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50920069788900 is the 7135830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50920069788900

50920069788900 is an abundant number, since it is smaller than the sum of its proper divisors (140197702474791).

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

50920069788900 is a wasteful number, since it uses less digits than its factorization.

50920069788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 50920069788900 in words is "fifty trillion, nine hundred twenty billion, sixty-nine million, seven hundred eighty-eight thousand, nine hundred".