48166503840 has 576 divisors, whose sum is σ = 203851904256. Its totient is φ = 10084663296.

The previous prime is 48166503779. The next prime is 48166503851. The reversal of 48166503840 is 4830566184.

48166503840 is a `hidden beast` number, since 4 + 8 + 1 + 66 + 503 + 84 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17951139 + ... + 17953821.

It is an arithmetic number, because the mean of its divisors is an integer number (353909556).

Almost surely, 2^48166503840 is an apocalyptic number.

48166503840 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 48166503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101925952128).

48166503840 is an abundant number, since it is smaller than the sum of its proper divisors (155685400416).

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

48166503840 is a wasteful number, since it uses less digits than its factorization.

48166503840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48166503840 in words is "forty-eight billion, one hundred sixty-six million, five hundred three thousand, eight hundred forty".