48991424960 has 112 divisors (see below), whose sum is σ = 117426516480. Its totient is φ = 19468416000.

The previous prime is 48991424939. The next prime is 48991424987. The reversal of 48991424960 is 6942419984.

It is a super-2 number, since 2×48991424960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48991424896 and 48991424905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58392221 + ... + 58393059.

It is an arithmetic number, because the mean of its divisors is an integer number (1048451040).

Almost surely, 2^48991424960 is an apocalyptic number.

48991424960 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 48991424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58713258240).

48991424960 is an abundant number, since it is smaller than the sum of its proper divisors (68435091520).

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

48991424960 is a wasteful number, since it uses less digits than its factorization.

48991424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 48991424960 in words is "forty-eight billion, nine hundred ninety-one million, four hundred twenty-four thousand, nine hundred sixty".