6511898880 has 576 divisors, whose sum is σ = 24959692800. Its totient is φ = 1602478080.

The previous prime is 6511898839. The next prime is 6511898893. The reversal of 6511898880 is 888981156.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30861975 + ... + 30862185.

It is an arithmetic number, because the mean of its divisors is an integer number (43332800).

Almost surely, 2^6511898880 is an apocalyptic number.

6511898880 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 6511898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479846400).

6511898880 is an abundant number, since it is smaller than the sum of its proper divisors (18447793920).

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

6511898880 is a wasteful number, since it uses less digits than its factorization.

6511898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The square root of 6511898880 is about 80696.3374633570. The cubic root of 6511898880 is about 1867.3936714675.

The spelling of 6511898880 in words is "six billion, five hundred eleven million, eight hundred ninety-eight thousand, eight hundred eighty".