8000048808400 has 240 divisors, whose sum is σ = 21335159462400. Its totient is φ = 2858141632000.

The previous prime is 8000048808371. The next prime is 8000048808413. The reversal of 8000048808400 is 48088400008.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501279621 + ... + 501295579.

It is an arithmetic number, because the mean of its divisors is an integer number (88896497760).

Almost surely, 2^{8000048808400} is an apocalyptic number.

8000048808400 is a gapful number since it is divisible by the number (80) 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 8000048808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667579731200).

8000048808400 is an abundant number, since it is smaller than the sum of its proper divisors (13335110654000).

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

8000048808400 is a wasteful number, since it uses less digits than its factorization.

8000048808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17978 (or 17967 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 8000048808400 in words is "eight trillion, forty-eight million, eight hundred eight thousand, four hundred".