48808903806000 has 1280 divisors, whose sum is σ = 200596660992000. Its totient is φ = 11244767846400.

The previous prime is 48808903805989. The next prime is 48808903806031. The reversal of 48808903806000 is 60830980884.

48808903806000 is a `hidden beast` number, since 48 + 80 + 8 + 90 + 380 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×48808903806000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1107031956 + ... + 1107076044.

It is an arithmetic number, because the mean of its divisors is an integer number (156716141400).

Almost surely, 2^{48808903806000} is an apocalyptic number.

48808903806000 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 48808903806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100298330496000).

48808903806000 is an abundant number, since it is smaller than the sum of its proper divisors (151787757186000).

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

48808903806000 is a wasteful number, since it uses less digits than its factorization.

48808903806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44236 (or 44214 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 48808903806000 in words is "forty-eight trillion, eight hundred eight billion, nine hundred three million, eight hundred six thousand".