26741711150856 has 1152 divisors, whose sum is σ = 89257465296000. Its totient is φ = 7391586908160.

The previous prime is 26741711150809. The next prime is 26741711150881. The reversal of 26741711150856 is 65805111714762.

26741711150856 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 1 + 71 + 11 + 508 + 56 = 666.

It is a super-2 number, since 2×26741711150856² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35325906030 + ... + 35325906786.

It is an arithmetic number, because the mean of its divisors is an integer number (77480438625).

Almost surely, 2^{26741711150856} is an apocalyptic number.

26741711150856 is a gapful number since it is divisible by the number (26) 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 26741711150856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44628732648000).

26741711150856 is an abundant number, since it is smaller than the sum of its proper divisors (62515754145144).

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

26741711150856 is a wasteful number, since it uses less digits than its factorization.

26741711150856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 26741711150856 in words is "twenty-six trillion, seven hundred forty-one billion, seven hundred eleven million, one hundred fifty thousand, eight hundred fifty-six".