48320784506880 has 896 divisors, whose sum is σ = 186342055925760. Its totient is φ = 11831586324480.

The previous prime is 48320784506867. The next prime is 48320784506959. The reversal of 48320784506880 is 8860548702384.

48320784506880 is a `hidden beast` number, since 4 + 8 + 32 + 0 + 78 + 450 + 6 + 8 + 80 = 666.

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, 770794897 + ... + 770857583.

It is an arithmetic number, because the mean of its divisors is an integer number (207971044560).

Almost surely, 2^{48320784506880} is an apocalyptic number.

48320784506880 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 48320784506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93171027962880).

48320784506880 is an abundant number, since it is smaller than the sum of its proper divisors (138021271418880).

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

48320784506880 is a wasteful number, since it uses less digits than its factorization.

48320784506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62785 (or 62755 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 48320784506880 in words is "forty-eight trillion, three hundred twenty billion, seven hundred eighty-four million, five hundred six thousand, eight hundred eighty".