48912507666000 has 640 divisors, whose sum is σ = 191255496007680. Its totient is φ = 11850670656000.

The previous prime is 48912507665869. The next prime is 48912507666091. The reversal of 48912507666000 is 66670521984.

48912507666000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1059078909 + ... + 1059125091.

It is an arithmetic number, because the mean of its divisors is an integer number (298836712512).

Almost surely, 2^{48912507666000} is an apocalyptic number.

48912507666000 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 48912507666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95627748003840).

48912507666000 is an abundant number, since it is smaller than the sum of its proper divisors (142342988341680).

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

48912507666000 is a wasteful number, since it uses less digits than its factorization.

48912507666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48009 (or 47987 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 48912507666000 in words is "forty-eight trillion, nine hundred twelve billion, five hundred seven million, six hundred sixty-six thousand".