48263735520 has 768 divisors, whose sum is σ = 226826127360. Its totient is φ = 9256550400.

The previous prime is 48263735503. The next prime is 48263735557. The reversal of 48263735520 is 2553736284.

48263735520 is a `hidden beast` number, since 4 + 8 + 2 + 637 + 3 + 5 + 5 + 2 + 0 = 666.

48263735520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4318740 + ... + 4329900.

It is an arithmetic number, because the mean of its divisors is an integer number (295346520).

Almost surely, 2^48263735520 is an apocalyptic number.

48263735520 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 48263735520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113413063680).

48263735520 is an abundant number, since it is smaller than the sum of its proper divisors (178562391840).

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

48263735520 is a wasteful number, since it uses less digits than its factorization.

48263735520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11216 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 48263735520 in words is "forty-eight billion, two hundred sixty-three million, seven hundred thirty-five thousand, five hundred twenty".