48081587891200 has 264 divisors, whose sum is σ = 119879020928192. Its totient is φ = 19120631316480.

The previous prime is 48081587891153. The next prime is 48081587891213. The reversal of 48081587891200 is 219878518084.

It is a super-3 number, since 3×48081587891200³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13671191842 + ... + 13671195358.

Almost surely, 2^{48081587891200} is an apocalyptic number.

48081587891200 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 48081587891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59939510464096).

48081587891200 is an abundant number, since it is smaller than the sum of its proper divisors (71797433036992).

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

48081587891200 is a wasteful number, since it uses less digits than its factorization.

48081587891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 61.

The spelling of 48081587891200 in words is "forty-eight trillion, eighty-one billion, five hundred eighty-seven million, eight hundred ninety-one thousand, two hundred".