49778820000 has 960 divisors, whose sum is σ = 223515452160. Its totient is φ = 10492416000.

The previous prime is 49778819953. The next prime is 49778820017. The reversal of 49778820000 is 2887794.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49139494 + ... + 49140506.

It is an arithmetic number, because the mean of its divisors is an integer number (232828596).

Almost surely, 2^49778820000 is an apocalyptic number.

49778820000 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 49778820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111757726080).

49778820000 is an abundant number, since it is smaller than the sum of its proper divisors (173736632160).

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

49778820000 is a wasteful number, since it uses less digits than its factorization.

49778820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 49778820000 in words is "forty-nine billion, seven hundred seventy-eight million, eight hundred twenty thousand".