6858130419504 has 960 divisors, whose sum is σ = 25344405632000. Its totient is φ = 1783631259648.

The previous prime is 6858130419487. The next prime is 6858130419509. The reversal of 6858130419504 is 4059140318586.

It is a happy number.

6858130419504 is a `hidden beast` number, since 6 + 8 + 581 + 3 + 0 + 4 + 1 + 9 + 50 + 4 = 666.

It is a super-2 number, since 2×6858130419504² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6858130419509) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1265568507 + ... + 1265573925.

Almost surely, 2^{6858130419504} 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 6858130419504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672202816000).

6858130419504 is an abundant number, since it is smaller than the sum of its proper divisors (18486275212496).

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

6858130419504 is a wasteful number, since it uses less digits than its factorization.

6858130419504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 6858130419504 in words is "six trillion, eight hundred fifty-eight billion, one hundred thirty million, four hundred nineteen thousand, five hundred four".