50081964100 has 243 divisors, whose sum is σ = 133114349277. Its totient is φ = 16306234560.

The previous prime is 50081964059. The next prime is 50081964109. The reversal of 50081964100 is 146918005.

The square root of 50081964100 is 223790.

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

It can be written as a sum of positive squares in only one way, i.e., 18029507076 + 32052457024 = 134274^2 + 179032^2 .

It is a super-2 number, since 2×50081964100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (50081964109) 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, 360301831 + ... + 360301969.

Almost surely, 2^50081964100 is an apocalyptic number.

50081964100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50081964100 is the 223790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50081964100

50081964100 is an abundant number, since it is smaller than the sum of its proper divisors (83032385177).

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

50081964100 is a wasteful number, since it uses less digits than its factorization.

50081964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 50081964100 in words is "fifty billion, eighty-one million, nine hundred sixty-four thousand, one hundred".