48078164160 has 336 divisors, whose sum is σ = 178905688416. Its totient is φ = 11780407296.

The previous prime is 48078164039. The next prime is 48078164171. The reversal of 48078164160 is 6146187084.

48078164160 is a `hidden beast` number, since 480 + 7 + 8 + 1 + 6 + 4 + 160 = 666.

It is a super-3 number, since 3×48078164160³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8496052 + ... + 8501708.

It is an arithmetic number, because the mean of its divisors is an integer number (532457406).

Almost surely, 2^48078164160 is an apocalyptic number.

48078164160 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 48078164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89452844208).

48078164160 is an abundant number, since it is smaller than the sum of its proper divisors (130827524256).

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

48078164160 is a wasteful number, since it uses less digits than its factorization.

48078164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 48078164160 in words is "forty-eight billion, seventy-eight million, one hundred sixty-four thousand, one hundred sixty".