48817520640 has 600 divisors, whose sum is σ = 200206894272. Its totient is φ = 11147673600.

The previous prime is 48817520573. The next prime is 48817520657. The reversal of 48817520640 is 4602571884.

48817520640 is a `hidden beast` number, since 4 + 8 + 81 + 7 + 520 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46448115 + ... + 46449165.

Almost surely, 2^48817520640 is an apocalyptic number.

48817520640 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 48817520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100103447136).

48817520640 is an abundant number, since it is smaller than the sum of its proper divisors (151389373632).

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

48817520640 is an equidigital number, since it uses as much as digits as its factorization.

48817520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48817520640 in words is "forty-eight billion, eight hundred seventeen million, five hundred twenty thousand, six hundred forty".