50406694577568 has 960 divisors, whose sum is σ = 185587445514240. Its totient is φ = 13105210060800.

The previous prime is 50406694577557. The next prime is 50406694577573. The reversal of 50406694577568 is 86577549660405.

50406694577568 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 6 + 6 + 9 + 4 + 57 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 50406694577496 and 50406694577505.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 763230628 + ... + 763296668.

It is an arithmetic number, because the mean of its divisors is an integer number (193320255744).

Almost surely, 2^{50406694577568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50406694577568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92793722757120).

50406694577568 is an abundant number, since it is smaller than the sum of its proper divisors (135180750936672).

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

50406694577568 is a wasteful number, since it uses less digits than its factorization.

50406694577568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66183 (or 66166 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 50406694577568 in words is "fifty trillion, four hundred six billion, six hundred ninety-four million, five hundred seventy-seven thousand, five hundred sixty-eight".