48925734000 has 640 divisors, whose sum is σ = 187188019200. Its totient is φ = 10838016000.

The previous prime is 48925733999. The next prime is 48925734007. The reversal of 48925734000 is 43752984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48925734007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 108965776 + ... + 108966224.

It is an arithmetic number, because the mean of its divisors is an integer number (292481280).

Almost surely, 2^48925734000 is an apocalyptic number.

48925734000 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 48925734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93594009600).

48925734000 is an abundant number, since it is smaller than the sum of its proper divisors (138262285200).

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

48925734000 is a wasteful number, since it uses less digits than its factorization.

48925734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 48925734000 in words is "forty-eight billion, nine hundred twenty-five million, seven hundred thirty-four thousand".