48478916828160 has 1408 divisors, whose sum is σ = 214731963801600. Its totient is φ = 10098836766720.

The previous prime is 48478916828159. The next prime is 48478916828179. The reversal of 48478916828160 is 6182861987484.

It is a happy number.

48478916828160 is a `hidden beast` number, since 4 + 8 + 478 + 9 + 16 + 8 + 2 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 993782970 + ... + 993831750.

Almost surely, 2^{48478916828160} is an apocalyptic number.

48478916828160 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 48478916828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107365981900800).

48478916828160 is an abundant number, since it is smaller than the sum of its proper divisors (166253046973440).

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

48478916828160 is a wasteful number, since it uses less digits than its factorization.

48478916828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48914 (or 48890 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 48478916828160 in words is "forty-eight trillion, four hundred seventy-eight billion, nine hundred sixteen million, eight hundred twenty-eight thousand, one hundred sixty".