48127666752000 has 3840 divisors, whose sum is σ = 205758825592320. Its totient is φ = 11070259200000.

The previous prime is 48127666751993. The next prime is 48127666752029. The reversal of 48127666752000 is 25766672184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3840).

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 476511551950 + ... + 476511552050.

It is an arithmetic number, because the mean of its divisors is an integer number (53583027498).

Almost surely, 2^{48127666752000} is an apocalyptic number.

48127666752000 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 48127666752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102879412796160).

48127666752000 is an abundant number, since it is smaller than the sum of its proper divisors (157631158840320).

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

48127666752000 is a wasteful number, since it uses less digits than its factorization.

48127666752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

It can be divided in two parts, 481276 and 66752000, that added together give a palindrome (67233276).

The spelling of 48127666752000 in words is "forty-eight trillion, one hundred twenty-seven billion, six hundred sixty-six million, seven hundred fifty-two thousand".