50829237220608 has 2880 divisors, whose sum is σ = 213756316139520. Its totient is φ = 11604728217600.

The previous prime is 50829237220607. The next prime is 50829237220613. The reversal of 50829237220608 is 80602273292805.

50829237220608 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 9 + 2 + 3 + 7 + 2 + 20 + 608 = 666.

It is a super-2 number, since 2×50829237220608² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50829237220607) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 24401937135 + ... + 24401939217.

It is an arithmetic number, because the mean of its divisors is an integer number (74220943104).

Almost surely, 2^{50829237220608} is an apocalyptic number.

50829237220608 is a gapful number since it is divisible by the number (58) 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 50829237220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106878158069760).

50829237220608 is an abundant number, since it is smaller than the sum of its proper divisors (162927078918912).

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

50829237220608 is a wasteful number, since it uses less digits than its factorization.

50829237220608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 50829237220608 in words is "fifty trillion, eight hundred twenty-nine billion, two hundred thirty-seven million, two hundred twenty thousand, six hundred eight".