6086460441600 has 4752 divisors, whose sum is σ = 31032544236480. Its totient is φ = 1151926272000.

The previous prime is 6086460441599. The next prime is 6086460441613. The reversal of 6086460441600 is 61440646806.

6086460441600 is a `hidden beast` number, since 60 + 86 + 460 + 44 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 196337433585 + ... + 196337433615.

Almost surely, 2^{6086460441600} is an apocalyptic number.

6086460441600 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 6086460441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516272118240).

6086460441600 is an abundant number, since it is smaller than the sum of its proper divisors (24946083794880).

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

6086460441600 is a wasteful number, since it uses less digits than its factorization.

6086460441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 6086460441600 in words is "six trillion, eighty-six billion, four hundred sixty million, four hundred forty-one thousand, six hundred".