48263523840 has 640 divisors, whose sum is σ = 204492625920. Its totient is φ = 10549592064.

The previous prime is 48263523839. The next prime is 48263523851. The reversal of 48263523840 is 4832536284.

48263523840 is a `hidden beast` number, since 4 + 8 + 2 + 635 + 2 + 3 + 8 + 4 + 0 = 666.

48263523840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 11126152 + ... + 11130488.

It is an arithmetic number, because the mean of its divisors is an integer number (319519728).

Almost surely, 2^48263523840 is an apocalyptic number.

48263523840 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 48263523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102246312960).

48263523840 is an abundant number, since it is smaller than the sum of its proper divisors (156229102080).

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

48263523840 is a wasteful number, since it uses less digits than its factorization.

48263523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 48263523840 in words is "forty-eight billion, two hundred sixty-three million, five hundred twenty-three thousand, eight hundred forty".