48754863360 has 576 divisors, whose sum is σ = 208154419200. Its totient is φ = 10556448768.

The previous prime is 48754863359. The next prime is 48754863413. The reversal of 48754863360 is 6336845784.

48754863360 is a `hidden beast` number, since 4 + 8 + 7 + 548 + 6 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48754863297 and 48754863306.

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, 4591177 + ... + 4601783.

It is an arithmetic number, because the mean of its divisors is an integer number (361379200).

Almost surely, 2^48754863360 is an apocalyptic number.

48754863360 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 48754863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104077209600).

48754863360 is an abundant number, since it is smaller than the sum of its proper divisors (159399555840).

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

48754863360 is a wasteful number, since it uses less digits than its factorization.

48754863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10663 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 48754863360 in words is "forty-eight billion, seven hundred fifty-four million, eight hundred sixty-three thousand, three hundred sixty".