49882029120 has 784 divisors, whose sum is σ = 222115367808. Its totient is φ = 10361364480.

The previous prime is 49882029097. The next prime is 49882029151. The reversal of 49882029120 is 2192028894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17961172 + ... + 17963948.

Almost surely, 2^49882029120 is an apocalyptic number.

49882029120 is a gapful number since it is divisible by the number (40) 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 49882029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111057683904).

49882029120 is an abundant number, since it is smaller than the sum of its proper divisors (172233338688).

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

49882029120 is a wasteful number, since it uses less digits than its factorization.

49882029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 49882029120 in words is "forty-nine billion, eight hundred eighty-two million, twenty-nine thousand, one hundred twenty".