26741720678400 has 3672 divisors, whose sum is σ = 125454418907760. Its totient is φ = 5564918661120.

The previous prime is 26741720678383. The next prime is 26741720678417. The reversal of 26741720678400 is 487602714762.

26741720678400 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 172 + 0 + 67 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (26741720678383) and next prime (26741720678417).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 366324940764 + ... + 366324940836.

Almost surely, 2^{26741720678400} is an apocalyptic number.

26741720678400 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 26741720678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62727209453880).

26741720678400 is an abundant number, since it is smaller than the sum of its proper divisors (98712698229360).

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

26741720678400 is an equidigital number, since it uses as much as digits as its factorization.

26741720678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 26741720678400 in words is "twenty-six trillion, seven hundred forty-one billion, seven hundred twenty million, six hundred seventy-eight thousand, four hundred".