48348819680 has 384 divisors, whose sum is σ = 141537715200. Its totient is φ = 15240462336.

The previous prime is 48348819679. The next prime is 48348819703. The reversal of 48348819680 is 8691884384.

It is a Harshad number since it is a multiple of its sum of digits (59).

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, 121785242 + ... + 121785638.

It is an arithmetic number, because the mean of its divisors is an integer number (368587800).

Almost surely, 2^48348819680 is an apocalyptic number.

48348819680 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 48348819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70768857600).

48348819680 is an abundant number, since it is smaller than the sum of its proper divisors (93188895520).

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

48348819680 is a wasteful number, since it uses less digits than its factorization.

48348819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 59.

The spelling of 48348819680 in words is "forty-eight billion, three hundred forty-eight million, eight hundred nineteen thousand, six hundred eighty".