6052262630400 has 1056 divisors, whose sum is σ = 26220716687360. Its totient is φ = 1338716160000.

The previous prime is 6052262630383. The next prime is 6052262630483. The reversal of 6052262630400 is 40362622506.

6052262630400 is a `hidden beast` number, since 6 + 0 + 5 + 22 + 626 + 3 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149970225 + ... + 150010575.

Almost surely, 2^{6052262630400} is an apocalyptic number.

6052262630400 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 6052262630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110358343680).

6052262630400 is an abundant number, since it is smaller than the sum of its proper divisors (20168454056960).

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

6052262630400 is a wasteful number, since it uses less digits than its factorization.

6052262630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40428 (or 40399 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 6052262630400 in words is "six trillion, fifty-two billion, two hundred sixty-two million, six hundred thirty thousand, four hundred".