49529829888 has 1280 divisors, whose sum is σ = 201129984000. Its totient is φ = 11645337600.

The previous prime is 49529829863. The next prime is 49529829911. The reversal of 49529829888 is 88892892594.

49529829888 is a `hidden beast` number, since 4 + 9 + 529 + 8 + 2 + 98 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 626959833 + ... + 626959911.

It is an arithmetic number, because the mean of its divisors is an integer number (157132800).

Almost surely, 2^49529829888 is an apocalyptic number.

49529829888 is a gapful number since it is divisible by the number (48) 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 49529829888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100564992000).

49529829888 is an abundant number, since it is smaller than the sum of its proper divisors (151600154112).

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

49529829888 is a wasteful number, since it uses less digits than its factorization.

49529829888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 72.

The spelling of 49529829888 in words is "forty-nine billion, five hundred twenty-nine million, eight hundred twenty-nine thousand, eight hundred eighty-eight".