48251842560 has 1040 divisors, whose sum is σ = 192671978400. Its totient is φ = 11494490112.

The previous prime is 48251842547. The next prime is 48251842579. The reversal of 48251842560 is 6524815284.

48251842560 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 1 + 84 + 2 + 560 = 666.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 817827811 + ... + 817827869.

Almost surely, 2^48251842560 is an apocalyptic number.

48251842560 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 48251842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96335989200).

48251842560 is an abundant number, since it is smaller than the sum of its proper divisors (144420135840).

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

48251842560 is a wasteful number, since it uses less digits than its factorization.

48251842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 48251842560 in words is "forty-eight billion, two hundred fifty-one million, eight hundred forty-two thousand, five hundred sixty".