26143140672 has 168 divisors, whose sum is σ = 81899955072. Its totient is φ = 7907328000.

The previous prime is 26143140671. The next prime is 26143140703. The reversal of 26143140672 is 27604134162.

26143140672 is a `hidden beast` number, since 2 + 614 + 31 + 4 + 0 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×26143140672³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26143140671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3652297 + ... + 3659447.

Almost surely, 2^26143140672 is an apocalyptic number.

26143140672 is a gapful number since it is divisible by the number (22) 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 26143140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40949977536).

26143140672 is an abundant number, since it is smaller than the sum of its proper divisors (55756814400).

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

26143140672 is a wasteful number, since it uses less digits than its factorization.

26143140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7757 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26143140672 in words is "twenty-six billion, one hundred forty-three million, one hundred forty thousand, six hundred seventy-two".