48300802560 has 480 divisors, whose sum is σ = 178697705472. Its totient is φ = 12014714880.

The previous prime is 48300802559. The next prime is 48300802579. The reversal of 48300802560 is 6520800384.

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 (36).

It is an unprimeable number.

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, 49742875 + ... + 49743845.

Almost surely, 2^48300802560 is an apocalyptic number.

48300802560 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 48300802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89348852736).

48300802560 is an abundant number, since it is smaller than the sum of its proper divisors (130396902912).

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

48300802560 is a wasteful number, since it uses less digits than its factorization.

48300802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 48300 and 802560, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 48300802560 in words is "forty-eight billion, three hundred million, eight hundred two thousand, five hundred sixty".