48949731600 has 960 divisors, whose sum is σ = 210857361408. Its totient is φ = 9402624000.

The previous prime is 48949731517. The next prime is 48949731617. The reversal of 48949731600 is 613794984.

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, 65880829 + ... + 65881571.

Almost surely, 2^48949731600 is an apocalyptic number.

48949731600 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 48949731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105428680704).

48949731600 is an abundant number, since it is smaller than the sum of its proper divisors (161907629808).

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

48949731600 is a wasteful number, since it uses less digits than its factorization.

48949731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 48949731600 in words is "forty-eight billion, nine hundred forty-nine million, seven hundred thirty-one thousand, six hundred".