26653130400 has 576 divisors, whose sum is σ = 102179460096. Its totient is φ = 5971968000.

The previous prime is 26653130393. The next prime is 26653130419. The reversal of 26653130400 is 403135662.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16441590 + ... + 16443210.

It is an arithmetic number, because the mean of its divisors is an integer number (177394896).

Almost surely, 2^26653130400 is an apocalyptic number.

26653130400 is a gapful number since it is divisible by the number (20) 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 26653130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51089730048).

26653130400 is an abundant number, since it is smaller than the sum of its proper divisors (75526329696).

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

26653130400 is a wasteful number, since it uses less digits than its factorization.

26653130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 26653130400 in words is "twenty-six billion, six hundred fifty-three million, one hundred thirty thousand, four hundred".