26098897751136 has 864 divisors, whose sum is σ = 91814591232000. Its totient is φ = 6875534223360.

The previous prime is 26098897751051. The next prime is 26098897751137. The reversal of 26098897751136 is 63115779889062.

26098897751136 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 8 + 8 + 9 + 77 + 511 + 36 = 666.

It is a super-3 number, since 3×26098897751136³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26098897751137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13055975865 + ... + 13055977863.

It is an arithmetic number, because the mean of its divisors is an integer number (106266888000).

Almost surely, 2^{26098897751136} 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 26098897751136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45907295616000).

26098897751136 is an abundant number, since it is smaller than the sum of its proper divisors (65715693480864).

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

26098897751136 is a wasteful number, since it uses less digits than its factorization.

26098897751136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 26098897751136 in words is "twenty-six trillion, ninety-eight billion, eight hundred ninety-seven million, seven hundred fifty-one thousand, one hundred thirty-six".