6055526400 has 504 divisors, whose sum is σ = 24964485504. Its totient is φ = 1258291200.

The previous prime is 6055526381. The next prime is 6055526413. The reversal of 6055526400 is 46255506.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550502395 + ... + 550502405.

Almost surely, 2^6055526400 is an apocalyptic number.

6055526400 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 6055526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482242752).

6055526400 is an abundant number, since it is smaller than the sum of its proper divisors (18908959104).

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

6055526400 is an frugal number, since it uses more digits than its factorization.

6055526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 6055526400 is about 77817.2628662818. The cubic root of 6055526400 is about 1822.7088430912.

The spelling of 6055526400 in words is "six billion, fifty-five million, five hundred twenty-six thousand, four hundred".