26121777516560 has 320 divisors, whose sum is σ = 68324301321984. Its totient is φ = 9207926784000.

The previous prime is 26121777516503. The next prime is 26121777516607. The reversal of 26121777516560 is 6561577712162.

It is a junction number, because it is equal to n+sod(n) for n = 26121777516496 and 26121777516505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888874187 + ... + 888903573.

Almost surely, 2^{26121777516560} is an apocalyptic number.

26121777516560 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 26121777516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34162150660992).

26121777516560 is an abundant number, since it is smaller than the sum of its proper divisors (42202523805424).

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

26121777516560 is a wasteful number, since it uses less digits than its factorization.

26121777516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29722 (or 29716 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 56.

It can be divided in two parts, 261217 and 77516560, that added together give a palindrome (77777777).

The spelling of 26121777516560 in words is "twenty-six trillion, one hundred twenty-one billion, seven hundred seventy-seven million, five hundred sixteen thousand, five hundred sixty".