48472875360 has 960 divisors, whose sum is σ = 219823414272. Its totient is φ = 9777106944.

The previous prime is 48472875349. The next prime is 48472875391. The reversal of 48472875360 is 6357827484.

48472875360 is a `hidden beast` number, since 4 + 84 + 7 + 28 + 7 + 536 + 0 = 666.

It is a super-3 number, since 3×48472875360³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48472875297 and 48472875306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27124387 + ... + 27126173.

Almost surely, 2^48472875360 is an apocalyptic number.

48472875360 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 48472875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109911707136).

48472875360 is an abundant number, since it is smaller than the sum of its proper divisors (171350538912).

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

48472875360 is a wasteful number, since it uses less digits than its factorization.

48472875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 48472875360 in words is "forty-eight billion, four hundred seventy-two million, eight hundred seventy-five thousand, three hundred sixty".