48991191828480 has 1152 divisors, whose sum is σ = 202681601740800. Its totient is φ = 11177896181760.

The previous prime is 48991191828461. The next prime is 48991191828487. The reversal of 48991191828480 is 8482819119984.

48991191828480 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 119 + 1 + 8 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×48991191828480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48991191828399 and 48991191828408.

It is not an unprimeable number, because it can be changed into a prime (48991191828487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568676289 + ... + 568762431.

It is an arithmetic number, because the mean of its divisors is an integer number (175938890400).

Almost surely, 2^{48991191828480} is an apocalyptic number.

48991191828480 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 48991191828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101340800870400).

48991191828480 is an abundant number, since it is smaller than the sum of its proper divisors (153690409912320).

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

48991191828480 is a wasteful number, since it uses less digits than its factorization.

48991191828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86218 (or 86181 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 72.

The spelling of 48991191828480 in words is "forty-eight trillion, nine hundred ninety-one billion, one hundred ninety-one million, eight hundred twenty-eight thousand, four hundred eighty".