48360484373760 has 2880 divisors, whose sum is σ = 201396605921280. Its totient is φ = 10989376634880.

The previous prime is 48360484373737. The next prime is 48360484373767. The reversal of 48360484373760 is 6737348406384.

48360484373760 is a `hidden beast` number, since 4 + 8 + 3 + 60 + 484 + 3 + 7 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48360484373767) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 129652772934 + ... + 129652773306.

It is an arithmetic number, because the mean of its divisors is an integer number (69929377056).

Almost surely, 2^{48360484373760} is an apocalyptic number.

48360484373760 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 48360484373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100698302960640).

48360484373760 is an abundant number, since it is smaller than the sum of its proper divisors (153036121547520).

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

48360484373760 is a wasteful number, since it uses less digits than its factorization.

48360484373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 48360484373760 in words is "forty-eight trillion, three hundred sixty billion, four hundred eighty-four million, three hundred seventy-three thousand, seven hundred sixty".