48023797760 has 272 divisors, whose sum is σ = 125872199856. Its totient is φ = 17515413504.

The previous prime is 48023797729. The next prime is 48023797771. The reversal of 48023797760 is 6779732084.

It can be written as a sum of positive squares in 8 ways, for example, as 1007681536 + 47016116224 = 31744^2 + 216832^2 .

It is a tau number, because it is divible by the number of its divisors (272).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206110604 + ... + 206110836.

Almost surely, 2^48023797760 is an apocalyptic number.

48023797760 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 48023797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62936099928).

48023797760 is an abundant number, since it is smaller than the sum of its proper divisors (77848402096).

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

48023797760 is an equidigital number, since it uses as much as digits as its factorization.

48023797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 53.

The spelling of 48023797760 in words is "forty-eight billion, twenty-three million, seven hundred ninety-seven thousand, seven hundred sixty".