48038460520320 has 384 divisors, whose sum is σ = 171531001025280. Its totient is φ = 12375510220800.

The previous prime is 48038460520301. The next prime is 48038460520331. The reversal of 48038460520320 is 2302506483084.

48038460520320 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 8 + 4 + 605 + 2 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 102795990 + ... + 103262250.

It is an arithmetic number, because the mean of its divisors is an integer number (446695315170).

Almost surely, 2^{48038460520320} is an apocalyptic number.

48038460520320 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 48038460520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85765500512640).

48038460520320 is an abundant number, since it is smaller than the sum of its proper divisors (123492540504960).

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

48038460520320 is a wasteful number, since it uses less digits than its factorization.

48038460520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466894 (or 466879 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 48038460520320 in words is "forty-eight trillion, thirty-eight billion, four hundred sixty million, five hundred twenty thousand, three hundred twenty".