6151168800 has 648 divisors, whose sum is σ = 25816347648. Its totient is φ = 1349913600.

The previous prime is 6151168781. The next prime is 6151168811. The reversal of 6151168800 is 88611516.

6151168800 is a `hidden beast` number, since 6 + 1 + 511 + 68 + 80 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 48434337 + ... + 48434463.

Almost surely, 2^6151168800 is an apocalyptic number.

6151168800 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 6151168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908173824).

6151168800 is an abundant number, since it is smaller than the sum of its proper divisors (19665178848).

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

6151168800 is a wasteful number, since it uses less digits than its factorization.

6151168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 6151168800 is about 78429.3873493858. The cubic root of 6151168800 is about 1832.2548573442.

The spelling of 6151168800 in words is "six billion, one hundred fifty-one million, one hundred sixty-eight thousand, eight hundred".