5106610236240 has 240 divisors, whose sum is σ = 17389682489088. Its totient is φ = 1342717876224.

The previous prime is 5106610236199. The next prime is 5106610236269. The reversal of 5106610236240 is 426320166015.

5106610236240 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 6 + 1 + 0 + 23 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5106610236240² (a number of 26 digits) contains 22 as substring.

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 = 5106610236195 and 5106610236204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210595797 + ... + 210620043.

Almost surely, 2^{5106610236240} 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 5106610236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694841244544).

5106610236240 is an abundant number, since it is smaller than the sum of its proper divisors (12283072252848).

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

5106610236240 is a wasteful number, since it uses less digits than its factorization.

5106610236240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28346 (or 28337 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 5106610236240 in words is "five trillion, one hundred six billion, six hundred ten million, two hundred thirty-six thousand, two hundred forty".