26612997078528 has 2560 divisors, whose sum is σ = 102280253644800. Its totient is φ = 6742112993280.

The previous prime is 26612997078527. The next prime is 26612997078533. The reversal of 26612997078528 is 82587079921662.

26612997078528 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 2 + 9 + 97 + 0 + 7 + 8 + 528 = 666.

It is a super-2 number, since 2×26612997078528² (a number of 28 digits) contains 22 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 (26612997078527) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 274360794576 + ... + 274360794672.

It is an arithmetic number, because the mean of its divisors is an integer number (39953224080).

Almost surely, 2^{26612997078528} is an apocalyptic number.

26612997078528 is a gapful number since it is divisible by the number (28) 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 26612997078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51140126822400).

26612997078528 is an abundant number, since it is smaller than the sum of its proper divisors (75667256566272).

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

26612997078528 is an frugal number, since it uses more digits than its factorization.

26612997078528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 26612997078528 in words is "twenty-six trillion, six hundred twelve billion, nine hundred ninety-seven million, seventy-eight thousand, five hundred twenty-eight".