48420118830720 has 3072 divisors, whose sum is σ = 219849043968000. Its totient is φ = 8811121213440.

The previous prime is 48420118830659. The next prime is 48420118830779. The reversal of 48420118830720 is 2703881102484.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48420118830720.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22743126616 + ... + 22743128744.

It is an arithmetic number, because the mean of its divisors is an integer number (71565444000).

Almost surely, 2^{48420118830720} is an apocalyptic number.

48420118830720 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 48420118830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109924521984000).

48420118830720 is an abundant number, since it is smaller than the sum of its proper divisors (171428925137280).

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

48420118830720 is a wasteful number, since it uses less digits than its factorization.

48420118830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 48420118830720 in words is "forty-eight trillion, four hundred twenty billion, one hundred eighteen million, eight hundred thirty thousand, seven hundred twenty".