48992265840 has 240 divisors, whose sum is σ = 177421501440. Its totient is φ = 11150737920.

The previous prime is 48992265809. The next prime is 48992265851. The reversal of 48992265840 is 4856229984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×48992265840² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2801925 + ... + 2819355.

It is an arithmetic number, because the mean of its divisors is an integer number (739256256).

Almost surely, 2^48992265840 is an apocalyptic number.

48992265840 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 48992265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88710750720).

48992265840 is an abundant number, since it is smaller than the sum of its proper divisors (128429235600).

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

48992265840 is a wasteful number, since it uses less digits than its factorization.

48992265840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17700 (or 17687 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 48992265840 in words is "forty-eight billion, nine hundred ninety-two million, two hundred sixty-five thousand, eight hundred forty".