48081925920000 has 1440 divisors, whose sum is σ = 193137056358400. Its totient is φ = 10370322432000.

The previous prime is 48081925919983. The next prime is 48081925920001. The reversal of 48081925920000 is 2952918084.

It is a super-3 number, since 3×48081925920000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48081925920001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17683678641 + ... + 17683681359.

Almost surely, 2^{48081925920000} is an apocalyptic number.

48081925920000 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 48081925920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96568528179200).

48081925920000 is an abundant number, since it is smaller than the sum of its proper divisors (145055130438400).

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

48081925920000 is a wasteful number, since it uses less digits than its factorization.

48081925920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 48081925920000 in words is "forty-eight trillion, eighty-one billion, nine hundred twenty-five million, nine hundred twenty thousand".