5110219146240 has 528 divisors, whose sum is σ = 19099931567808. Its totient is φ = 1255849132032.

The previous prime is 5110219146239. The next prime is 5110219146259. The reversal of 5110219146240 is 426419120115.

5110219146240 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 2 + 19 + 14 + 624 + 0 = 666.

It is a super-2 number, since 2×5110219146240² (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 = 5110219146195 and 5110219146204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385176087 + ... + 385189353.

Almost surely, 2^{5110219146240} 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 5110219146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549965783904).

5110219146240 is an abundant number, since it is smaller than the sum of its proper divisors (13989712421568).

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

5110219146240 is a wasteful number, since it uses less digits than its factorization.

5110219146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 5110219146240 in words is "five trillion, one hundred ten billion, two hundred nineteen million, one hundred forty-six thousand, two hundred forty".