48353580240 has 240 divisors, whose sum is σ = 179083216512. Its totient is φ = 10753440768.

The previous prime is 48353580221. The next prime is 48353580251. The reversal of 48353580240 is 4208535384.

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

It is a super-2 number, since 2×48353580240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48353580192 and 48353580201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379557 + ... + 490683.

Almost surely, 2^48353580240 is an apocalyptic number.

48353580240 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 48353580240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89541608256).

48353580240 is an abundant number, since it is smaller than the sum of its proper divisors (130729636272).

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

48353580240 is a wasteful number, since it uses less digits than its factorization.

48353580240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111194 (or 111181 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 48353580240 in words is "forty-eight billion, three hundred fifty-three million, five hundred eighty thousand, two hundred forty".