5026123146240 has 1320 divisors, whose sum is σ = 22185275052600. Its totient is φ = 1081175703552.

The previous prime is 5026123146167. The next prime is 5026123146251. The reversal of 5026123146240 is 426413216205.

5026123146240 is a `hidden beast` number, since 5 + 0 + 2 + 6 + 1 + 23 + 1 + 4 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1857267449856 + 3168855696384 = 1362816^2 + 1780128^2 .

It is a super-2 number, since 2×5026123146240² (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 = 5026123146195 and 5026123146204.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 345454486 + ... + 345469034.

It is an arithmetic number, because the mean of its divisors is an integer number (16807026555).

Almost surely, 2^{5026123146240} 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 5026123146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11092637526300).

5026123146240 is an abundant number, since it is smaller than the sum of its proper divisors (17159151906360).

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

5026123146240 is a wasteful number, since it uses less digits than its factorization.

5026123146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14617 (or 14583 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 5026123146240 in words is "five trillion, twenty-six billion, one hundred twenty-three million, one hundred forty-six thousand, two hundred forty".