50510882820816 has 320 divisors, whose sum is σ = 160468976352000. Its totient is φ = 15272781880320.

The previous prime is 50510882820799. The next prime is 50510882820833. The reversal of 50510882820816 is 61802828801505.

50510882820816 is a `hidden beast` number, since 5 + 0 + 510 + 8 + 8 + 28 + 20 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (50510882820799) and next prime (50510882820833).

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 Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175761210 + ... + 176048358.

It is an arithmetic number, because the mean of its divisors is an integer number (501465551100).

Almost surely, 2^{50510882820816} 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 50510882820816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80234488176000).

50510882820816 is an abundant number, since it is smaller than the sum of its proper divisors (109958093531184).

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

50510882820816 is a wasteful number, since it uses less digits than its factorization.

50510882820816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287646 (or 287622 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 50510882820816 in words is "fifty trillion, five hundred ten billion, eight hundred eighty-two million, eight hundred twenty thousand, eight hundred sixteen".