50590893201408 has 576 divisors, whose sum is σ = 171486118440000. Its totient is φ = 14362191986688.

The previous prime is 50590893201403. The next prime is 50590893201413. The reversal of 50590893201408 is 80410239809505.

50590893201408 is a `hidden beast` number, since 5 + 0 + 590 + 8 + 9 + 3 + 2 + 0 + 1 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (50590893201403) and next prime (50590893201413).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50590893201403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992556148 + ... + 992607116.

It is an arithmetic number, because the mean of its divisors is an integer number (297718955625).

Almost surely, 2^{50590893201408} 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 50590893201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85743059220000).

50590893201408 is an abundant number, since it is smaller than the sum of its proper divisors (120895225238592).

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

50590893201408 is a wasteful number, since it uses less digits than its factorization.

50590893201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51175 (or 51138 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 50590893201408 in words is "fifty trillion, five hundred ninety billion, eight hundred ninety-three million, two hundred one thousand, four hundred eight".