26660660400 has 360 divisors, whose sum is σ = 102650483520. Its totient is φ = 6353088000.

The previous prime is 26660660387. The next prime is 26660660401. The reversal of 26660660400 is 406606662.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (26660660401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2330695 + ... + 2342105.

It is an arithmetic number, because the mean of its divisors is an integer number (285140232).

Almost surely, 2^26660660400 is an apocalyptic number.

26660660400 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 26660660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51325241760).

26660660400 is an abundant number, since it is smaller than the sum of its proper divisors (75989823120).

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

26660660400 is a wasteful number, since it uses less digits than its factorization.

26660660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26660660400 in words is "twenty-six billion, six hundred sixty million, six hundred sixty thousand, four hundred".