48509760000 has 800 divisors, whose sum is σ = 182547066240. Its totient is φ = 11421696000.

The previous prime is 48509759999. The next prime is 48509760007. The reversal of 48509760000 is 6790584.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48509760007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2109119989 + ... + 2109120011.

Almost surely, 2^48509760000 is an apocalyptic number.

48509760000 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 48509760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91273533120).

48509760000 is an abundant number, since it is smaller than the sum of its proper divisors (134037306240).

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

48509760000 is an frugal number, since it uses more digits than its factorization.

48509760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 48509760000 in words is "forty-eight billion, five hundred nine million, seven hundred sixty thousand".