6011492198400 has 576 divisors, whose sum is σ = 23779906113600. Its totient is φ = 1479747502080.

The previous prime is 6011492198347. The next prime is 6011492198423. The reversal of 6011492198400 is 48912941106.

It is a happy number.

6011492198400 is a `hidden beast` number, since 6 + 0 + 11 + 49 + 2 + 198 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6011492198400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17803947 + ... + 18138453.

It is an arithmetic number, because the mean of its divisors is an integer number (41284559225).

Almost surely, 2^{6011492198400} is an apocalyptic number.

6011492198400 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 6011492198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11889953056800).

6011492198400 is an abundant number, since it is smaller than the sum of its proper divisors (17768413915200).

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

6011492198400 is a wasteful number, since it uses less digits than its factorization.

6011492198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334561 (or 334530 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 6011492198400 in words is "six trillion, eleven billion, four hundred ninety-two million, one hundred ninety-eight thousand, four hundred".