6055156800 has 1008 divisors, whose sum is σ = 27672133632. Its totient is φ = 1219276800.

The previous prime is 6055156777. The next prime is 6055156831. The reversal of 6055156800 is 86515506.

6055156800 is a `hidden beast` number, since 60 + 5 + 515 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47678337 + ... + 47678463.

Almost surely, 2^6055156800 is an apocalyptic number.

6055156800 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 6055156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836066816).

6055156800 is an abundant number, since it is smaller than the sum of its proper divisors (21616976832).

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

6055156800 is a wasteful number, since it uses less digits than its factorization.

6055156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 6055156800 is about 77814.8880356452. Note that the first 3 decimals coincide. The cubic root of 6055156800 is about 1822.6717592304.

The spelling of 6055156800 in words is "six billion, fifty-five million, one hundred fifty-six thousand, eight hundred".