48582823680 has 576 divisors, whose sum is σ = 182821900800. Its totient is φ = 12182814720.

The previous prime is 48582823643. The next prime is 48582823727. The reversal of 48582823680 is 8632828584.

48582823680 is a `hidden beast` number, since 485 + 8 + 2 + 82 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 158250087 + ... + 158250393.

Almost surely, 2^48582823680 is an apocalyptic number.

48582823680 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 48582823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91410950400).

48582823680 is an abundant number, since it is smaller than the sum of its proper divisors (134239077120).

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

48582823680 is a wasteful number, since it uses less digits than its factorization.

48582823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 48582823680 in words is "forty-eight billion, five hundred eighty-two million, eight hundred twenty-three thousand, six hundred eighty".