48205946880 has 896 divisors, whose sum is σ = 211380019200. Its totient is φ = 10149691392.

The previous prime is 48205946849. The next prime is 48205946891. The reversal of 48205946880 is 8864950284.

48205946880 is a `hidden beast` number, since 48 + 2 + 0 + 594 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 100638481 + ... + 100638959.

It is an arithmetic number, because the mean of its divisors is an integer number (235915200).

Almost surely, 2^48205946880 is an apocalyptic number.

48205946880 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 48205946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105690009600).

48205946880 is an abundant number, since it is smaller than the sum of its proper divisors (163174072320).

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

48205946880 is a wasteful number, since it uses less digits than its factorization.

48205946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 48205946880 in words is "forty-eight billion, two hundred five million, nine hundred forty-six thousand, eight hundred eighty".