5161614978240 has 896 divisors, whose sum is σ = 21573507962880. Its totient is φ = 1137130389504.

The previous prime is 5161614978197. The next prime is 5161614978269. The reversal of 5161614978240 is 428794161615.

5161614978240 is a `hidden beast` number, since 5 + 1 + 616 + 14 + 9 + 7 + 8 + 2 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239429542 + ... + 239451098.

Almost surely, 2^{5161614978240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5161614978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10786753981440).

5161614978240 is an abundant number, since it is smaller than the sum of its proper divisors (16411892984640).

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

5161614978240 is a wasteful number, since it uses less digits than its factorization.

5161614978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21734 (or 21718 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5161614978240 in words is "five trillion, one hundred sixty-one billion, six hundred fourteen million, nine hundred seventy-eight thousand, two hundred forty".