48559392000 has 1728 divisors, whose sum is σ = 221011015680. Its totient is φ = 10450944000.

The previous prime is 48559391941. The next prime is 48559392019. The reversal of 48559392000 is 29395584.

48559392000 is a `hidden beast` number, since 4 + 8 + 559 + 3 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 1312415982 + ... + 1312416018.

Almost surely, 2^48559392000 is an apocalyptic number.

48559392000 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 48559392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110505507840).

48559392000 is an abundant number, since it is smaller than the sum of its proper divisors (172451623680).

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

48559392000 is a wasteful number, since it uses less digits than its factorization.

48559392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 48559392000 in words is "forty-eight billion, five hundred fifty-nine million, three hundred ninety-two thousand".