48627138447360 has 1920 divisors, whose sum is σ = 194129708572800. Its totient is φ = 11543893770240.

The previous prime is 48627138447347. The next prime is 48627138447361. The reversal of 48627138447360 is 6374483172684.

48627138447360 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 71 + 38 + 4 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×48627138447360² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48627138447361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 118892758836 + ... + 118892759244.

It is an arithmetic number, because the mean of its divisors is an integer number (101109223215).

Almost surely, 2^{48627138447360} is an apocalyptic number.

48627138447360 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 48627138447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97064854286400).

48627138447360 is an abundant number, since it is smaller than the sum of its proper divisors (145502570125440).

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

48627138447360 is a wasteful number, since it uses less digits than its factorization.

48627138447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 48627138447360 in words is "forty-eight trillion, six hundred twenty-seven billion, one hundred thirty-eight million, four hundred forty-seven thousand, three hundred sixty".