26640826752000 has 1408 divisors, whose sum is σ = 95947974420480. Its totient is φ = 6537216000000.

The previous prime is 26640826751993. The next prime is 26640826752011. The reversal of 26640826752000 is 25762804662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106138751875 + ... + 106138752125.

Almost surely, 2^{26640826752000} is an apocalyptic number.

26640826752000 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 26640826752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973987210240).

26640826752000 is an abundant number, since it is smaller than the sum of its proper divisors (69307147668480).

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

26640826752000 is a wasteful number, since it uses less digits than its factorization.

26640826752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 26640826752000 in words is "twenty-six trillion, six hundred forty billion, eight hundred twenty-six million, seven hundred fifty-two thousand".