48763777920 has 512 divisors, whose sum is σ = 184591733760. Its totient is φ = 10793779200.

The previous prime is 48763777919. The next prime is 48763777939. The reversal of 48763777920 is 2977736784.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26631405 + ... + 26633235.

It is an arithmetic number, because the mean of its divisors is an integer number (360530730).

Almost surely, 2^48763777920 is an apocalyptic number.

48763777920 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 48763777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92295866880).

48763777920 is an abundant number, since it is smaller than the sum of its proper divisors (135827955840).

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

48763777920 is a wasteful number, since it uses less digits than its factorization.

48763777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 60.

The spelling of 48763777920 in words is "forty-eight billion, seven hundred sixty-three million, seven hundred seventy-seven thousand, nine hundred twenty".