48445827840 has 360 divisors, whose sum is σ = 178951774848. Its totient is φ = 12501319680.

The previous prime is 48445827817. The next prime is 48445827887. The reversal of 48445827840 is 4872854484.

48445827840 is a `hidden beast` number, since 4 + 84 + 458 + 2 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3206544 + ... + 3221616.

Almost surely, 2^48445827840 is an apocalyptic number.

48445827840 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 48445827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89475887424).

48445827840 is an abundant number, since it is smaller than the sum of its proper divisors (130505947008).

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

48445827840 is a wasteful number, since it uses less digits than its factorization.

48445827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15137 (or 15114 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 48445827840 in words is "forty-eight billion, four hundred forty-five million, eight hundred twenty-seven thousand, eight hundred forty".