16427625984 has 960 divisors, whose sum is σ = 64785853440. Its totient is φ = 4014489600.

The previous prime is 16427625953. The next prime is 16427626003. The reversal of 16427625984 is 48952672461.

16427625984 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 7 + 625 + 9 + 8 + 4 = 666.

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

Its product of digits (5806080) is a multiple of the sum of its prime factors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 16427625984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269305314 + ... + 269305374.

It is an arithmetic number, because the mean of its divisors is an integer number (67485264).

Almost surely, 2^16427625984 is an apocalyptic number.

16427625984 is a gapful number since it is divisible by the number (14) 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 16427625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32392926720).

16427625984 is an abundant number, since it is smaller than the sum of its proper divisors (48358227456).

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

16427625984 is a wasteful number, since it uses less digits than its factorization.

16427625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

It can be divided in two parts, 16427 and 625984, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 16427625984 in words is "sixteen billion, four hundred twenty-seven million, six hundred twenty-five thousand, nine hundred eighty-four".