48753659520 has 768 divisors, whose sum is σ = 184483728000. Its totient is φ = 11824496640.

The previous prime is 48753659443. The next prime is 48753659533. The reversal of 48753659520 is 2595635784.

48753659520 is a `hidden beast` number, since 4 + 8 + 7 + 53 + 65 + 9 + 520 = 666.

48753659520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 447281226 + ... + 447281334.

Almost surely, 2^48753659520 is an apocalyptic number.

48753659520 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 48753659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92241864000).

48753659520 is an abundant number, since it is smaller than the sum of its proper divisors (135730068480).

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

48753659520 is a wasteful number, since it uses less digits than its factorization.

48753659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 48753659520 in words is "forty-eight billion, seven hundred fifty-three million, six hundred fifty-nine thousand, five hundred twenty".