48077411200 has 384 divisors, whose sum is σ = 147635550720. Its totient is φ = 15063736320.

The previous prime is 48077411189. The next prime is 48077411219. The reversal of 48077411200 is 211477084.

It is a super-3 number, since 3×48077411200³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 31157629 + ... + 31159171.

It is an arithmetic number, because the mean of its divisors is an integer number (384467580).

Almost surely, 2^48077411200 is an apocalyptic number.

48077411200 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 48077411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73817775360).

48077411200 is an abundant number, since it is smaller than the sum of its proper divisors (99558139520).

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

48077411200 is a wasteful number, since it uses less digits than its factorization.

48077411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

Adding to 48077411200 its reverse (211477084), we get a palindrome (48288888284).

The spelling of 48077411200 in words is "forty-eight billion, seventy-seven million, four hundred eleven thousand, two hundred".