48819050280 has 1152 divisors, whose sum is σ = 227168997120. Its totient is φ = 8798699520.

The previous prime is 48819050251. The next prime is 48819050299. The reversal of 48819050280 is 8205091884.

It is a happy number.

48819050280 is a `hidden beast` number, since 488 + 1 + 90 + 5 + 0 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79639254 + ... + 79639866.

It is an arithmetic number, because the mean of its divisors is an integer number (197195310).

Almost surely, 2^48819050280 is an apocalyptic number.

48819050280 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 48819050280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113584498560).

48819050280 is an abundant number, since it is smaller than the sum of its proper divisors (178349946840).

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

48819050280 is a wasteful number, since it uses less digits than its factorization.

48819050280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 48819050280 in words is "forty-eight billion, eight hundred nineteen million, fifty thousand, two hundred eighty".