6011152804800 has 1512 divisors, whose sum is σ = 26165299480320. Its totient is φ = 1298626560000.

The previous prime is 6011152804759. The next prime is 6011152804879. The reversal of 6011152804800 is 84082511106.

6011152804800 is a `hidden beast` number, since 60 + 1 + 115 + 2 + 8 + 0 + 480 + 0 = 666.

It is a super-2 number, since 2×6011152804800² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 656880225 + ... + 656889375.

Almost surely, 2^{6011152804800} is an apocalyptic number.

6011152804800 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 6011152804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082649740160).

6011152804800 is an abundant number, since it is smaller than the sum of its proper divisors (20154146675520).

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

6011152804800 is a wasteful number, since it uses less digits than its factorization.

6011152804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 6011152804800 in words is "six trillion, eleven billion, one hundred fifty-two million, eight hundred four thousand, eight hundred".