15616433082240 has 768 divisors, whose sum is σ = 57577469526720. Its totient is φ = 3886618509312.

The previous prime is 15616433082139. The next prime is 15616433082251. The reversal of 15616433082240 is 4228033461651.

15616433082240 is a `hidden beast` number, since 1 + 5 + 61 + 6 + 43 + 308 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6693712114 + ... + 6693714446.

Almost surely, 2^{15616433082240} is an apocalyptic number.

15616433082240 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 15616433082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788734763360).

15616433082240 is an abundant number, since it is smaller than the sum of its proper divisors (41961036444480).

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

15616433082240 is a wasteful number, since it uses less digits than its factorization.

15616433082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 15616433082240 in words is "fifteen trillion, six hundred sixteen billion, four hundred thirty-three million, eighty-two thousand, two hundred forty".