26250966000 has 600 divisors, whose sum is σ = 110334674736. Its totient is φ = 5998406400.

The previous prime is 26250965999. The next prime is 26250966023. The reversal of 26250966000 is 66905262.

26250966000 is a `hidden beast` number, since 26 + 25 + 0 + 9 + 6 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×26250966000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7936347 + ... + 7939653.

Almost surely, 2^26250966000 is an apocalyptic number.

26250966000 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 26250966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55167337368).

26250966000 is an abundant number, since it is smaller than the sum of its proper divisors (84083708736).

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

26250966000 is a wasteful number, since it uses less digits than its factorization.

26250966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 262509 and 66000, that added together give a cube (328509 = 69³).

The spelling of 26250966000 in words is "twenty-six billion, two hundred fifty million, nine hundred sixty-six thousand".