48253849920 has 672 divisors, whose sum is σ = 181480455936. Its totient is φ = 11722752000.

The previous prime is 48253849883. The next prime is 48253849957. The reversal of 48253849920 is 2994835284.

48253849920 is a `hidden beast` number, since 4 + 82 + 53 + 8 + 499 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (48253849883) and next prime (48253849957).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319561845 + ... + 319561995.

Almost surely, 2^48253849920 is an apocalyptic number.

48253849920 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 48253849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90740227968).

48253849920 is an abundant number, since it is smaller than the sum of its proper divisors (133226606016).

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

48253849920 is a wasteful number, since it uses less digits than its factorization.

48253849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 48253849920 in words is "forty-eight billion, two hundred fifty-three million, eight hundred forty-nine thousand, nine hundred twenty".