6010536000 has 672 divisors, whose sum is σ = 24392534400. Its totient is φ = 1296691200.

The previous prime is 6010535977. The next prime is 6010536013. The reversal of 6010536000 is 6350106.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6010536000² = 72253086014592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 22343866 + ... + 22344134.

Almost surely, 2^6010536000 is an apocalyptic number.

6010536000 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 6010536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196267200).

6010536000 is an abundant number, since it is smaller than the sum of its proper divisors (18381998400).

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

6010536000 is a wasteful number, since it uses less digits than its factorization.

6010536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 6010536000 is about 77527.6466816838. The cubic root of 6010536000 is about 1818.1835921195.

Adding to 6010536000 its reverse (6350106), we get a palindrome (6016886106).

The spelling of 6010536000 in words is "six billion, ten million, five hundred thirty-six thousand".