48227362560 has 864 divisors, whose sum is σ = 200482551360. Its totient is φ = 10574364672.

The previous prime is 48227362523. The next prime is 48227362567. The reversal of 48227362560 is 6526372284.

48227362560 is a `hidden beast` number, since 4 + 8 + 2 + 27 + 3 + 62 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48227362567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48371982 + ... + 48372978.

It is an arithmetic number, because the mean of its divisors is an integer number (232039990).

Almost surely, 2^48227362560 is an apocalyptic number.

48227362560 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 48227362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100241275680).

48227362560 is an abundant number, since it is smaller than the sum of its proper divisors (152255188800).

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

48227362560 is a wasteful number, since it uses less digits than its factorization.

48227362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 48227362560 in words is "forty-eight billion, two hundred twenty-seven million, three hundred sixty-two thousand, five hundred sixty".