6152201729856 has 1344 divisors, whose sum is σ = 23278201856000. Its totient is φ = 1600593426432.

The previous prime is 6152201729833. The next prime is 6152201729867. The reversal of 6152201729856 is 6589271022516.

6152201729856 is a `hidden beast` number, since 6 + 1 + 522 + 0 + 17 + 29 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×6152201729856² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5478362511 + ... + 5478363633.

Almost surely, 2^{6152201729856} 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 6152201729856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639100928000).

6152201729856 is an abundant number, since it is smaller than the sum of its proper divisors (17126000126144).

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

6152201729856 is a wasteful number, since it uses less digits than its factorization.

6152201729856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 6152201729856 in words is "six trillion, one hundred fifty-two billion, two hundred one million, seven hundred twenty-nine thousand, eight hundred fifty-six".