48059424000 has 864 divisors, whose sum is σ = 204277032960. Its totient is φ = 10616832000.

The previous prime is 48059423983. The next prime is 48059424001. The reversal of 48059424000 is 42495084.

48059424000 is a `hidden beast` number, since 48 + 0 + 594 + 24 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×48059424000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48059424001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62495616 + ... + 62496384.

Almost surely, 2^48059424000 is an apocalyptic number.

48059424000 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 48059424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102138516480).

48059424000 is an abundant number, since it is smaller than the sum of its proper divisors (156217608960).

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

48059424000 is a wasteful number, since it uses less digits than its factorization.

48059424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 48059424000 in words is "forty-eight billion, fifty-nine million, four hundred twenty-four thousand".