6856090988544 has 1092 divisors, whose sum is σ = 24445770048864. Its totient is φ = 1915281801216.

The previous prime is 6856090988479. The next prime is 6856090988561. The reversal of 6856090988544 is 4458890906586.

6856090988544 is a `hidden beast` number, since 6 + 8 + 5 + 609 + 0 + 9 + 8 + 8 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6876720654 + ... + 6876721650.

Almost surely, 2^{6856090988544} is an apocalyptic number.

6856090988544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856090988544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12222885024432).

6856090988544 is an abundant number, since it is smaller than the sum of its proper divisors (17589679060320).

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

6856090988544 is an frugal number, since it uses more digits than its factorization.

6856090988544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 6856090988544 in words is "six trillion, eight hundred fifty-six billion, ninety million, nine hundred eighty-eight thousand, five hundred forty-four".