48993880320 has 2160 divisors, whose sum is σ = 244245310848. Its totient is φ = 9077391360.

The previous prime is 48993880319. The next prime is 48993880349. The reversal of 48993880320 is 2308839984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2578625271 + ... + 2578625289.

Almost surely, 2^48993880320 is an apocalyptic number.

48993880320 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 48993880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122122655424).

48993880320 is an abundant number, since it is smaller than the sum of its proper divisors (195251430528).

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

48993880320 is a wasteful number, since it uses less digits than its factorization.

48993880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48993880320 in words is "forty-eight billion, nine hundred ninety-three million, eight hundred eighty thousand, three hundred twenty".