50966030606400 has 3150 divisors, whose sum is σ = 236924021088018. Its totient is φ = 10715004518400.

The previous prime is 50966030606357. The next prime is 50966030606411. The reversal of 50966030606400 is 460603066905.

50966030606400 is a `hidden beast` number, since 5 + 0 + 9 + 6 + 6 + 0 + 30 + 606 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 41696051733504 + 9269978872896 = 6457248^2 + 3044664^2 .

It is a tau number, because it is divible by the number of its divisors (3150).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 181373774260 + ... + 181373774540.

Almost surely, 2^{50966030606400} is an apocalyptic number.

50966030606400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50966030606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118462010544009).

50966030606400 is an abundant number, since it is smaller than the sum of its proper divisors (185957990481618).

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

50966030606400 is an equidigital number, since it uses as much as digits as its factorization.

50966030606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 50966030606400 in words is "fifty trillion, nine hundred sixty-six billion, thirty million, six hundred six thousand, four hundred".