48093570000 has 600 divisors, whose sum is σ = 194445707456. Its totient is φ = 10865664000.

The previous prime is 48093569981. The next prime is 48093570037. The reversal of 48093570000 is 7539084.

48093570000 is a `hidden beast` number, since 4 + 80 + 9 + 3 + 570 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×48093570000³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61109607 + ... + 61110393.

Almost surely, 2^48093570000 is an apocalyptic number.

48093570000 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 48093570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97222853728).

48093570000 is an abundant number, since it is smaller than the sum of its proper divisors (146352137456).

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

48093570000 is a wasteful number, since it uses less digits than its factorization.

48093570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 48093570000 in words is "forty-eight billion, ninety-three million, five hundred seventy thousand".