16121488624800 has 288 divisors, whose sum is σ = 56522496203712. Its totient is φ = 3967630663680.

The previous prime is 16121488624793. The next prime is 16121488624841. The reversal of 16121488624800 is 842688412161.

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, 178949367 + ... + 179039433.

It is an arithmetic number, because the mean of its divisors is an integer number (196258667374).

Almost surely, 2^{16121488624800} is an apocalyptic number.

16121488624800 is a gapful number since it is divisible by the number (10) 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 16121488624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28261248101856).

16121488624800 is an abundant number, since it is smaller than the sum of its proper divisors (40401007578912).

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

16121488624800 is a wasteful number, since it uses less digits than its factorization.

16121488624800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95840 (or 95827 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 16121488624800 in words is "sixteen trillion, one hundred twenty-one billion, four hundred eighty-eight million, six hundred twenty-four thousand, eight hundred".