6526009800 has 288 divisors, whose sum is σ = 23224406400. Its totient is φ = 1637660160.

The previous prime is 6526009771. The next prime is 6526009823. The reversal of 6526009800 is 89006256.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5916049 + ... + 5917151.

It is an arithmetic number, because the mean of its divisors is an integer number (80640300).

Almost surely, 2^6526009800 is an apocalyptic number.

6526009800 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 6526009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612203200).

6526009800 is an abundant number, since it is smaller than the sum of its proper divisors (16698396600).

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

6526009800 is a wasteful number, since it uses less digits than its factorization.

6526009800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6526009800 is about 80783.7223702894. The cubic root of 6526009800 is about 1868.7415441652.

The spelling of 6526009800 in words is "six billion, five hundred twenty-six million, nine thousand, eight hundred".