50829264000 has 768 divisors, whose sum is σ = 193617216000. Its totient is φ = 12753100800.

The previous prime is 50829263957. The next prime is 50829264029. The reversal of 50829264000 is 46292805.

It is a happy number.

50829264000 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 9 + 2 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×50829264000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341135926 + ... + 341136074.

It is an arithmetic number, because the mean of its divisors is an integer number (252105750).

Almost surely, 2^50829264000 is an apocalyptic number.

50829264000 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 50829264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96808608000).

50829264000 is an abundant number, since it is smaller than the sum of its proper divisors (142787952000).

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

50829264000 is a wasteful number, since it uses less digits than its factorization.

50829264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 50829264000 in words is "fifty billion, eight hundred twenty-nine million, two hundred sixty-four thousand".