26975267698560 has 256 divisors, whose sum is σ = 88959599308800. Its totient is φ = 6945495367680.

The previous prime is 26975267698517. The next prime is 26975267698567. The reversal of 26975267698560 is 6589676257962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26975267698567) 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, 25613092 + ... + 26645468.

It is an arithmetic number, because the mean of its divisors is an integer number (347498434800).

Almost surely, 2^{26975267698560} is an apocalyptic number.

26975267698560 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 26975267698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44479799654400).

26975267698560 is an abundant number, since it is smaller than the sum of its proper divisors (61984331610240).

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

26975267698560 is a wasteful number, since it uses less digits than its factorization.

26975267698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032869 (or 1032857 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 78.

The spelling of 26975267698560 in words is "twenty-six trillion, nine hundred seventy-five billion, two hundred sixty-seven million, six hundred ninety-eight thousand, five hundred sixty".