48801400908000 has 768 divisors, whose sum is σ = 174614418800640. Its totient is φ = 11842661376000.

The previous prime is 48801400907983. The next prime is 48801400908049. The reversal of 48801400908000 is 80900410884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9329265385 + ... + 9329270615.

It is an arithmetic number, because the mean of its divisors is an integer number (227362524480).

Almost surely, 2^{48801400908000} is an apocalyptic number.

48801400908000 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 48801400908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87307209400320).

48801400908000 is an abundant number, since it is smaller than the sum of its proper divisors (125813017892640).

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

48801400908000 is a wasteful number, since it uses less digits than its factorization.

48801400908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 48801400908000 in words is "forty-eight trillion, eight hundred one billion, four hundred million, nine hundred eight thousand".