6152868120960 has 3072 divisors, whose sum is σ = 27005239296000. Its totient is φ = 1316168663040.

The previous prime is 6152868120947. The next prime is 6152868121021. The reversal of 6152868120960 is 690218682516.

6152868120960 is a `hidden beast` number, since 6 + 1 + 528 + 6 + 8 + 1 + 20 + 96 + 0 = 666.

It is a super-2 number, since 2×6152868120960² (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 a junction number, because it is equal to n+sod(n) for n = 6152868120897 and 6152868120906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48447780417 + ... + 48447780543.

It is an arithmetic number, because the mean of its divisors is an integer number (8790768000).

Almost surely, 2^{6152868120960} is an apocalyptic number.

6152868120960 is a gapful number since it is divisible by the number (60) 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 6152868120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502619648000).

6152868120960 is an abundant number, since it is smaller than the sum of its proper divisors (20852371175040).

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

6152868120960 is a wasteful number, since it uses less digits than its factorization.

6152868120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 6152868120960 in words is "six trillion, one hundred fifty-two billion, eight hundred sixty-eight million, one hundred twenty thousand, nine hundred sixty".