1616564352260 has 288 divisors, whose sum is σ = 4281961356288. Its totient is φ = 506948682240.

The previous prime is 1616564352233. The next prime is 1616564352287. The reversal of 1616564352260 is 622534656161.

It is an interprime number because it is at equal distance from previous prime (1616564352233) and next prime (1616564352287).

It is a super-2 number, since 2×1616564352260² (a number of 25 digits) contains 22 as substring.

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, 36749039 + ... + 36793001.

It is an arithmetic number, because the mean of its divisors is an integer number (14867921376).

Almost surely, 2^{1616564352260} is an apocalyptic number.

1616564352260 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 1616564352260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140980678144).

1616564352260 is an abundant number, since it is smaller than the sum of its proper divisors (2665397004028).

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

1616564352260 is a wasteful number, since it uses less digits than its factorization.

1616564352260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44075 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 1616564352260 in words is "one trillion, six hundred sixteen billion, five hundred sixty-four million, three hundred fifty-two thousand, two hundred sixty".