48209333760 has 480 divisors, whose sum is σ = 197899333632. Its totient is φ = 11018280960.

The previous prime is 48209333759. The next prime is 48209333803. The reversal of 48209333760 is 6733390284.

48209333760 is a `hidden beast` number, since 48 + 209 + 33 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4349025 + ... + 4360095.

Almost surely, 2^48209333760 is an apocalyptic number.

48209333760 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 48209333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98949666816).

48209333760 is an abundant number, since it is smaller than the sum of its proper divisors (149689999872).

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

48209333760 is an equidigital number, since it uses as much as digits as its factorization.

48209333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11116 (or 11088 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 48209333760 in words is "forty-eight billion, two hundred nine million, three hundred thirty-three thousand, seven hundred sixty".