26161381200 has 360 divisors, whose sum is σ = 89314970976. Its totient is φ = 6544512000.

The previous prime is 26161381199. The next prime is 26161381201. The reversal of 26161381200 is 218316162.

It is an interprime number because it is at equal distance from previous prime (26161381199) and next prime (26161381201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26161381201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56748970 + ... + 56749430.

Almost surely, 2^26161381200 is an apocalyptic number.

26161381200 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 26161381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44657485488).

26161381200 is an abundant number, since it is smaller than the sum of its proper divisors (63153589776).

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

26161381200 is a wasteful number, since it uses less digits than its factorization.

26161381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 26161381200 its reverse (218316162), we get a palindrome (26379697362).

The spelling of 26161381200 in words is "twenty-six billion, one hundred sixty-one million, three hundred eighty-one thousand, two hundred".