50077440000 has 1440 divisors, whose sum is σ = 223515452160. Its totient is φ = 10948608000.

The previous prime is 50077439999. The next prime is 50077440001. The reversal of 50077440000 is 4477005.

It is an interprime number because it is at equal distance from previous prime (50077439999) and next prime (50077440001).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50077440001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2177279989 + ... + 2177280011.

It is an arithmetic number, because the mean of its divisors is an integer number (155219064).

Almost surely, 2^50077440000 is an apocalyptic number.

50077440000 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 50077440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111757726080).

50077440000 is an abundant number, since it is smaller than the sum of its proper divisors (173438012160).

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

50077440000 is an frugal number, since it uses more digits than its factorization.

50077440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The spelling of 50077440000 in words is "fifty billion, seventy-seven million, four hundred forty thousand".