48777205658880 has 288 divisors, whose sum is σ = 156346685671680. Its totient is φ = 12960158515200.

The previous prime is 48777205658851. The next prime is 48777205658887. The reversal of 48777205658880 is 8885650277784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48777205658887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352147605 + ... + 3352162155.

It is an arithmetic number, because the mean of its divisors is an integer number (542870436360).

Almost surely, 2^{48777205658880} is an apocalyptic number.

48777205658880 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 48777205658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78173342835840).

48777205658880 is an abundant number, since it is smaller than the sum of its proper divisors (107569480012800).

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

48777205658880 is a wasteful number, since it uses less digits than its factorization.

48777205658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17677 (or 17663 counting only the distinct ones).

The product of its (nonzero) digits is 1685913600, while the sum is 75.

The spelling of 48777205658880 in words is "forty-eight trillion, seven hundred seventy-seven billion, two hundred five million, six hundred fifty-eight thousand, eight hundred eighty".