1616311509120 has 1728 divisors, whose sum is σ = 7362932391360. Its totient is φ = 317383925760.

The previous prime is 1616311509107. The next prime is 1616311509247. The reversal of 1616311509120 is 219051136161.

1616311509120 is a `hidden beast` number, since 1 + 6 + 1 + 631 + 1 + 5 + 0 + 9 + 12 + 0 = 666.

It is a super-2 number, since 2×1616311509120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19473632599 + ... + 19473632681.

It is an arithmetic number, because the mean of its divisors is an integer number (4260956245).

Almost surely, 2^{1616311509120} is an apocalyptic number.

1616311509120 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 1616311509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681466195680).

1616311509120 is an abundant number, since it is smaller than the sum of its proper divisors (5746620882240).

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

1616311509120 is a wasteful number, since it uses less digits than its factorization.

1616311509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 1616311509120 in words is "one trillion, six hundred sixteen billion, three hundred eleven million, five hundred nine thousand, one hundred twenty".