48508137600 has 576 divisors, whose sum is σ = 179148801600. Its totient is φ = 11517542400.

The previous prime is 48508137593. The next prime is 48508137659. The reversal of 48508137600 is 673180584.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47049085 + ... + 47050115.

It is an arithmetic number, because the mean of its divisors is an integer number (311022225).

Almost surely, 2^48508137600 is an apocalyptic number.

48508137600 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 48508137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89574400800).

48508137600 is an abundant number, since it is smaller than the sum of its proper divisors (130640664000).

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

48508137600 is a wasteful number, since it uses less digits than its factorization.

48508137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 48508137600 in words is "forty-eight billion, five hundred eight million, one hundred thirty-seven thousand, six hundred".