26726157720000 has 1680 divisors, whose sum is σ = 104646506398720. Its totient is φ = 6494515200000.

The previous prime is 26726157719941. The next prime is 26726157720011. The reversal of 26726157720000 is 2775162762.

26726157720000 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 615 + 7 + 7 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 51101639739 + ... + 51101640261.

Almost surely, 2^{26726157720000} is an apocalyptic number.

26726157720000 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 26726157720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52323253199360).

26726157720000 is an abundant number, since it is smaller than the sum of its proper divisors (77920348678720).

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

26726157720000 is a wasteful number, since it uses less digits than its factorization.

26726157720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 26726157720000 in words is "twenty-six trillion, seven hundred twenty-six billion, one hundred fifty-seven million, seven hundred twenty thousand".