26257140000 has 1080 divisors, whose sum is σ = 117399342060. Its totient is φ = 5515776000.

The previous prime is 26257139969. The next prime is 26257140031. The reversal of 26257140000 is 4175262.

26257140000 is a `hidden beast` number, since 2 + 6 + 257 + 1 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26257139969) and next prime (26257140031).

It can be written as a sum of positive squares in 10 ways, for example, as 1238758416 + 25018381584 = 35196^2 + 158172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 114659886 + ... + 114660114.

Almost surely, 2^26257140000 is an apocalyptic number.

26257140000 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 26257140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58699671030).

26257140000 is an abundant number, since it is smaller than the sum of its proper divisors (91142202060).

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

26257140000 is a wasteful number, since it uses less digits than its factorization.

26257140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 26257140000 in words is "twenty-six billion, two hundred fifty-seven million, one hundred forty thousand".