48195841360 has 240 divisors, whose sum is σ = 120925474560. Its totient is φ = 17848857600.

The previous prime is 48195841333. The next prime is 48195841367. The reversal of 48195841360 is 6314859184.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48195841367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201656121 + ... + 201656359.

It is an arithmetic number, because the mean of its divisors is an integer number (503856144).

Almost surely, 2^48195841360 is an apocalyptic number.

48195841360 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 48195841360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60462737280).

48195841360 is an abundant number, since it is smaller than the sum of its proper divisors (72729633200).

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

48195841360 is a wasteful number, since it uses less digits than its factorization.

48195841360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 48195841360 in words is "forty-eight billion, one hundred ninety-five million, eight hundred forty-one thousand, three hundred sixty".