26882249740992 has 224 divisors, whose sum is σ = 81514042061760. Its totient is φ = 8791676734464.

The previous prime is 26882249740943. The next prime is 26882249740993. The reversal of 26882249740992 is 29904794228862.

26882249740992 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 2 + 2 + 497 + 40 + 9 + 92 = 666.

It is a super-2 number, since 2×26882249740992² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 26882249740992.

It is not an unprimeable number, because it can be changed into a prime (26882249740993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5606418 + ... + 9230190.

It is an arithmetic number, because the mean of its divisors is an integer number (363901973490).

Almost surely, 2^{26882249740992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26882249740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40757021030880).

26882249740992 is an abundant number, since it is smaller than the sum of its proper divisors (54631792320768).

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

26882249740992 is an frugal number, since it uses more digits than its factorization.

26882249740992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623859 (or 3623831 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 26882249740992 in words is "twenty-six trillion, eight hundred eighty-two billion, two hundred forty-nine million, seven hundred forty thousand, nine hundred ninety-two".