1616128882560 has 1024 divisors, whose sum is σ = 6043277721600. Its totient is φ = 407676395520.

The previous prime is 1616128882559. The next prime is 1616128882573. The reversal of 1616128882560 is 652888216161.

1616128882560 is a `hidden beast` number, since 1 + 61 + 6 + 12 + 8 + 8 + 8 + 2 + 560 = 666.

It is a super-2 number, since 2×1616128882560² (a number of 25 digits) contains 22 as substring.

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 = 1616128882497 and 1616128882506.

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, 7247214609 + ... + 7247214831.

It is an arithmetic number, because the mean of its divisors is an integer number (5901638400).

Almost surely, 2^{1616128882560} is an apocalyptic number.

1616128882560 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 1616128882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021638860800).

1616128882560 is an abundant number, since it is smaller than the sum of its proper divisors (4427148839040).

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

1616128882560 is a wasteful number, since it uses less digits than its factorization.

1616128882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1616128882560 in words is "one trillion, six hundred sixteen billion, one hundred twenty-eight million, eight hundred eighty-two thousand, five hundred sixty".