48570312960 has 288 divisors, whose sum is σ = 185617111680. Its totient is φ = 11955658752.

The previous prime is 48570312953. The next prime is 48570312977. The reversal of 48570312960 is 6921307584.

48570312960 is a `hidden beast` number, since 4 + 8 + 570 + 3 + 12 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395227 + ... + 503333.

It is an arithmetic number, because the mean of its divisors is an integer number (644503860).

It is a 1-persistent number, because it is pandigital, but 2⋅48570312960 = 97140625920 is not.

Almost surely, 2^48570312960 is an apocalyptic number.

48570312960 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 48570312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92808555840).

48570312960 is an abundant number, since it is smaller than the sum of its proper divisors (137046798720).

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

48570312960 is a wasteful number, since it uses less digits than its factorization.

48570312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108150 (or 108130 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 48570312960 in words is "forty-eight billion, five hundred seventy million, three hundred twelve thousand, nine hundred sixty".