48812705280 has 480 divisors, whose sum is σ = 173805375744. Its totient is φ = 12656590848.

The previous prime is 48812705273. The next prime is 48812705287. The reversal of 48812705280 is 8250721884.

It is a happy number.

48812705280 is a `hidden beast` number, since 48 + 8 + 12 + 70 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48812705273) and next prime (48812705287).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48812705287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158998887 + ... + 158999193.

Almost surely, 2^48812705280 is an apocalyptic number.

48812705280 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 48812705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86902687872).

48812705280 is an abundant number, since it is smaller than the sum of its proper divisors (124992670464).

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

48812705280 is a wasteful number, since it uses less digits than its factorization.

48812705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 48812705280 in words is "forty-eight billion, eight hundred twelve million, seven hundred five thousand, two hundred eighty".