5216306135040 has 4352 divisors, whose sum is σ = 27058087526400. Its totient is φ = 917294284800.

The previous prime is 5216306135039. The next prime is 5216306135081. The reversal of 5216306135040 is 405316036125.

5216306135040 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 30 + 613 + 5 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5216306134986 and 5216306135004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 168267939825 + ... + 168267939855.

Almost surely, 2^{5216306135040} 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 5216306135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529043763200).

5216306135040 is an abundant number, since it is smaller than the sum of its proper divisors (21841781391360).

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

5216306135040 is a wasteful number, since it uses less digits than its factorization.

5216306135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 5216306135040 in words is "five trillion, two hundred sixteen billion, three hundred six million, one hundred thirty-five thousand, forty".