48277942272000 has 3072 divisors, whose sum is σ = 212582537856000. Its totient is φ = 10776084480000.

The previous prime is 48277942271959. The next prime is 48277942272011. The reversal of 48277942272000 is 27224977284.

48277942272000 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 7 + 9 + 422 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 319721471925 + ... + 319721472075.

It is an arithmetic number, because the mean of its divisors is an integer number (69200044875).

Almost surely, 2^{48277942272000} is an apocalyptic number.

48277942272000 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 48277942272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106291268928000).

48277942272000 is an abundant number, since it is smaller than the sum of its proper divisors (164304595584000).

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

48277942272000 is an equidigital number, since it uses as much as digits as its factorization.

48277942272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 48277942272000 in words is "forty-eight trillion, two hundred seventy-seven billion, nine hundred forty-two million, two hundred seventy-two thousand".