48480264720288 has 144 divisors (see below), whose sum is σ = 146005060009536. Its totient is φ = 15206415206400.

The previous prime is 48480264720281. The next prime is 48480264720299. The reversal of 48480264720288 is 88202746208484.

48480264720288 is a `hidden beast` number, since 4 + 8 + 4 + 80 + 2 + 6 + 472 + 0 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (48480264720281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23240095 + ... + 25240097.

It is an arithmetic number, because the mean of its divisors is an integer number (1013924027844).

Almost surely, 2^{48480264720288} is an apocalyptic number.

48480264720288 is a gapful number since it is divisible by the number (48) 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 48480264720288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73002530004768).

48480264720288 is an abundant number, since it is smaller than the sum of its proper divisors (97524795289248).

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

48480264720288 is a wasteful number, since it uses less digits than its factorization.

48480264720288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004987 (or 2004976 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 63.

The spelling of 48480264720288 in words is "forty-eight trillion, four hundred eighty billion, two hundred sixty-four million, seven hundred twenty thousand, two hundred eighty-eight".