26900242560 has 640 divisors, whose sum is σ = 104502182400. Its totient is φ = 6569164800.

The previous prime is 26900242507. The next prime is 26900242561. The reversal of 26900242560 is 6524200962.

26900242560 is a `hidden beast` number, since 2 + 6 + 90 + 0 + 2 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (26900242561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30533320 + ... + 30534200.

It is an arithmetic number, because the mean of its divisors is an integer number (163284660).

Almost surely, 2^26900242560 is an apocalyptic number.

26900242560 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 26900242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52251091200).

26900242560 is an abundant number, since it is smaller than the sum of its proper divisors (77601939840).

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

26900242560 is a wasteful number, since it uses less digits than its factorization.

26900242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26900242560 in words is "twenty-six billion, nine hundred million, two hundred forty-two thousand, five hundred sixty".