6511041600 has 1008 divisors, whose sum is σ = 27575377920. Its totient is φ = 1335398400.

The previous prime is 6511041571. The next prime is 6511041611. The reversal of 6511041600 is 61401156.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138532777 + ... + 138532823.

Almost surely, 2^6511041600 is an apocalyptic number.

6511041600 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 6511041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787688960).

6511041600 is an abundant number, since it is smaller than the sum of its proper divisors (21064336320).

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

6511041600 is a wasteful number, since it uses less digits than its factorization.

6511041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 6511041600 is about 80691.0255232885. The cubic root of 6511041600 is about 1867.3117215103.

Adding to 6511041600 its reverse (61401156), we get a palindrome (6572442756).

It can be divided in two parts, 651 and 1041600, that multiplied together give a square (678081600 = 26040²).

The spelling of 6511041600 in words is "six billion, five hundred eleven million, forty-one thousand, six hundred".