26143464960 has 640 divisors, whose sum is σ = 103589798400. Its totient is φ = 6210846720.

The previous prime is 26143464937. The next prime is 26143465003. The reversal of 26143464960 is 6946434162.

26143464960 is a `hidden beast` number, since 2 + 61 + 43 + 464 + 96 + 0 = 666.

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

It is a super-2 number, since 2×26143464960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22325175 + ... + 22326345.

It is an arithmetic number, because the mean of its divisors is an integer number (161859060).

Almost surely, 2^26143464960 is an apocalyptic number.

26143464960 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 26143464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51794899200).

26143464960 is an abundant number, since it is smaller than the sum of its proper divisors (77446333440).

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

26143464960 is a wasteful number, since it uses less digits than its factorization.

26143464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26143464960 in words is "twenty-six billion, one hundred forty-three million, four hundred sixty-four thousand, nine hundred sixty".