26752198427136 has 2240 divisors, whose sum is σ = 105657372995328. Its totient is φ = 6563240607744.

The previous prime is 26752198427131. The next prime is 26752198427209. The reversal of 26752198427136 is 63172489125762.

It is a happy number.

26752198427136 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 2 + 198 + 427 + 13 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26752198427131) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 61783367976 + ... + 61783368408.

Almost surely, 2^{26752198427136} is an apocalyptic number.

26752198427136 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 26752198427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52828686497664).

26752198427136 is an abundant number, since it is smaller than the sum of its proper divisors (78905174568192).

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

26752198427136 is a wasteful number, since it uses less digits than its factorization.

26752198427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 582 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 26752198427136 in words is "twenty-six trillion, seven hundred fifty-two billion, one hundred ninety-eight million, four hundred twenty-seven thousand, one hundred thirty-six".