49929004800 has 432 divisors, whose sum is σ = 184777027680. Its totient is φ = 13191413760.

The previous prime is 49929004793. The next prime is 49929004817. The reversal of 49929004800 is 840092994.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19525122 + ... + 19527678.

Almost surely, 2^49929004800 is an apocalyptic number.

49929004800 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 49929004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92388513840).

49929004800 is an abundant number, since it is smaller than the sum of its proper divisors (134848022880).

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

49929004800 is a wasteful number, since it uses less digits than its factorization.

49929004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 49929004800 in words is "forty-nine billion, nine hundred twenty-nine million, four thousand, eight hundred".