48018821760 has 1536 divisors, whose sum is σ = 220408128000. Its totient is φ = 9782083584.

The previous prime is 48018821737. The next prime is 48018821783. The reversal of 48018821760 is 6712881084.

48018821760 is a `hidden beast` number, since 480 + 1 + 88 + 21 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48018821737) and next prime (48018821783).

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1655821426 + ... + 1655821454.

It is an arithmetic number, because the mean of its divisors is an integer number (143494875).

Almost surely, 2^48018821760 is an apocalyptic number.

48018821760 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 48018821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110204064000).

48018821760 is an abundant number, since it is smaller than the sum of its proper divisors (172389306240).

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

48018821760 is an equidigital number, since it uses as much as digits as its factorization.

48018821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 48018821760 in words is "forty-eight billion, eighteen million, eight hundred twenty-one thousand, seven hundred sixty".