26261119946880 has 1536 divisors, whose sum is σ = 113136596052480. Its totient is φ = 5465545113600.

The previous prime is 26261119946861. The next prime is 26261119946923. The reversal of 26261119946880 is 8864991116262.

26261119946880 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 1 + 1 + 1 + 99 + 468 + 80 = 666.

It is a super-2 number, since 2×26261119946880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12428356704 + ... + 12428358816.

It is an arithmetic number, because the mean of its divisors is an integer number (73656638055).

Almost surely, 2^{26261119946880} is an apocalyptic number.

26261119946880 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 26261119946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56568298026240).

26261119946880 is an abundant number, since it is smaller than the sum of its proper divisors (86875476105600).

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

26261119946880 is a wasteful number, since it uses less digits than its factorization.

26261119946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 26261119946880 in words is "twenty-six trillion, two hundred sixty-one billion, one hundred nineteen million, nine hundred forty-six thousand, eight hundred eighty".