6011666534400 has 1248 divisors, whose sum is σ = 21708856044288. Its totient is φ = 1462134374400.

The previous prime is 6011666534347. The next prime is 6011666534413. The reversal of 6011666534400 is 44356661106.

It is a super-2 number, since 2×6011666534400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35998003117 + ... + 35998003283.

Almost surely, 2^{6011666534400} is an apocalyptic number.

6011666534400 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 6011666534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10854428022144).

6011666534400 is an abundant number, since it is smaller than the sum of its proper divisors (15697189509888).

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

6011666534400 is a wasteful number, since it uses less digits than its factorization.

6011666534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 6011666534400 in words is "six trillion, eleven billion, six hundred sixty-six million, five hundred thirty-four thousand, four hundred".