48027666672084 has 192 divisors, whose sum is σ = 125281285032960. Its totient is φ = 14197671290880.

The previous prime is 48027666672053. The next prime is 48027666672133.

48027666672084 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1212218427 + ... + 1212258045.

It is an arithmetic number, because the mean of its divisors is an integer number (652506692880).

Almost surely, 2^{48027666672084} is an apocalyptic number.

48027666672084 is a gapful number since it is divisible by the number (44) 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 48027666672084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62640642516480).

48027666672084 is an abundant number, since it is smaller than the sum of its proper divisors (77253618360876).

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

48027666672084 is a wasteful number, since it uses less digits than its factorization.

48027666672084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41030 (or 41028 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 66.

The spelling of 48027666672084 in words is "forty-eight trillion, twenty-seven billion, six hundred sixty-six million, six hundred seventy-two thousand, eighty-four".