48498646560 has 576 divisors, whose sum is σ = 190402265088. Its totient is φ = 10160197632.

The previous prime is 48498646549. The next prime is 48498646577. The reversal of 48498646560 is 6564689484.

48498646560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 48498646494 and 48498646503.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126628129 + ... + 126628511.

It is an arithmetic number, because the mean of its divisors is an integer number (330559488).

Almost surely, 2^48498646560 is an apocalyptic number.

48498646560 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 48498646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95201132544).

48498646560 is an abundant number, since it is smaller than the sum of its proper divisors (141903618528).

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

48498646560 is a wasteful number, since it uses less digits than its factorization.

48498646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 48498646560 in words is "forty-eight billion, four hundred ninety-eight million, six hundred forty-six thousand, five hundred sixty".