26723900052000 has 960 divisors, whose sum is σ = 101414257072128. Its totient is φ = 6885285120000.

The previous prime is 26723900051983. The next prime is 26723900052029. The reversal of 26723900052000 is 25000932762.

26723900052000 is a `hidden beast` number, since 2 + 67 + 2 + 390 + 0 + 0 + 5 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7462690210 + ... + 7462693790.

Almost surely, 2^{26723900052000} is an apocalyptic number.

26723900052000 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 26723900052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50707128536064).

26723900052000 is an abundant number, since it is smaller than the sum of its proper divisors (74690357020128).

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

26723900052000 is a wasteful number, since it uses less digits than its factorization.

26723900052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 26723900052000 its reverse (25000932762), we get a palindrome (26748900984762).

The spelling of 26723900052000 in words is "twenty-six trillion, seven hundred twenty-three billion, nine hundred million, fifty-two thousand".