48480695427528 has 1536 divisors, whose sum is σ = 185320969666560. Its totient is φ = 11078239518720.

The previous prime is 48480695427491. The next prime is 48480695427581. The reversal of 48480695427528 is 82572459608484.

It is a happy number.

48480695427528 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 0 + 6 + 9 + 542 + 75 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 15327439275 + ... + 15327442437.

It is an arithmetic number, because the mean of its divisors is an integer number (120651672960).

Almost surely, 2^{48480695427528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48480695427528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92660484833280).

48480695427528 is an abundant number, since it is smaller than the sum of its proper divisors (136840274239032).

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

48480695427528 is a wasteful number, since it uses less digits than its factorization.

48480695427528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 48480695427528 in words is "forty-eight trillion, four hundred eighty billion, six hundred ninety-five million, four hundred twenty-seven thousand, five hundred twenty-eight".