48968505600 has 216 divisors, whose sum is σ = 184693387200. Its totient is φ = 11192770560.

The previous prime is 48968505583. The next prime is 48968505613. The reversal of 48968505600 is 650586984.

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, 47775 + ... + 316574.

Almost surely, 2^48968505600 is an apocalyptic number.

48968505600 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 48968505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92346693600).

48968505600 is an abundant number, since it is smaller than the sum of its proper divisors (135724881600).

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

48968505600 is a wasteful number, since it uses less digits than its factorization.

48968505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364385 (or 364366 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 48968505600 in words is "forty-eight billion, nine hundred sixty-eight million, five hundred five thousand, six hundred".