26390016000 has 832 divisors, whose sum is σ = 103041469440. Its totient is φ = 6650265600.

The previous prime is 26390015999. The next prime is 26390016019. The reversal of 26390016000 is 61009362.

It is a happy number.

26390016000 is a `hidden beast` number, since 26 + 39 + 0 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317951959 + ... + 317952041.

It is an arithmetic number, because the mean of its divisors is an integer number (123847920).

Almost surely, 2^26390016000 is an apocalyptic number.

26390016000 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 26390016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51520734720).

26390016000 is an abundant number, since it is smaller than the sum of its proper divisors (76651453440).

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

26390016000 is an equidigital number, since it uses as much as digits as its factorization.

26390016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 26390016000 in words is "twenty-six billion, three hundred ninety million, sixteen thousand".