48391500960 has 972 divisors, whose sum is σ = 199239029262. Its totient is φ = 10685030400.

The previous prime is 48391500959. The next prime is 48391500961. The reversal of 48391500960 is 6900519384.

It is a happy number.

48391500960 is a `hidden beast` number, since 4 + 83 + 9 + 1 + 500 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (48391500959) and next prime (48391500961).

It can be written as a sum of positive squares in 3 ways, for example, as 47035199376 + 1356301584 = 216876^2 + 36828^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48391500961) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1561016145 + ... + 1561016175.

Almost surely, 2^48391500960 is an apocalyptic number.

48391500960 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 48391500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99619514631).

48391500960 is an abundant number, since it is smaller than the sum of its proper divisors (150847528302).

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

48391500960 is a wasteful number, since it uses less digits than its factorization.

48391500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 48391500960 in words is "forty-eight billion, three hundred ninety-one million, five hundred thousand, nine hundred sixty".