48138365520 has 240 divisors, whose sum is σ = 195628193280. Its totient is φ = 10355798016.

The previous prime is 48138365497. The next prime is 48138365543. The reversal of 48138365520 is 2556383184.

48138365520 is a `hidden beast` number, since 4 + 8 + 13 + 83 + 6 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48138365497) and next prime (48138365543).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195240 + ... + 366599.

It is an arithmetic number, because the mean of its divisors is an integer number (815117472).

Almost surely, 2^48138365520 is an apocalyptic number.

48138365520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48138365520 is an abundant number, since it is smaller than the sum of its proper divisors (147489827760).

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

48138365520 is a wasteful number, since it uses less digits than its factorization.

48138365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561882 (or 561873 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 48138365520 in words is "forty-eight billion, one hundred thirty-eight million, three hundred sixty-five thousand, five hundred twenty".