16427698560 has 1024 divisors, whose sum is σ = 74137190400. Its totient is φ = 3344302080.

The previous prime is 16427698559. The next prime is 16427698589. The reversal of 16427698560 is 6589672461.

16427698560 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 76 + 9 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16427698497 and 16427698506.

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, 48746712 + ... + 48747048.

It is an arithmetic number, because the mean of its divisors is an integer number (72399600).

Almost surely, 2^16427698560 is an apocalyptic number.

16427698560 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 16427698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37068595200).

16427698560 is an abundant number, since it is smaller than the sum of its proper divisors (57709491840).

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

16427698560 is a wasteful number, since it uses less digits than its factorization.

16427698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 16427698560 in words is "sixteen billion, four hundred twenty-seven million, six hundred ninety-eight thousand, five hundred sixty".