26361125429760 has 1600 divisors, whose sum is σ = 105225785368704. Its totient is φ = 6253844889600.

The previous prime is 26361125429753. The next prime is 26361125429801. The reversal of 26361125429760 is 6792452116362.

It is a happy number.

26361125429760 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 1 + 1 + 2 + 542 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26361125429697 and 26361125429706.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27661201444 + ... + 27661202396.

Almost surely, 2^{26361125429760} is an apocalyptic number.

26361125429760 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 26361125429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52612892684352).

26361125429760 is an abundant number, since it is smaller than the sum of its proper divisors (78864659938944).

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

26361125429760 is a wasteful number, since it uses less digits than its factorization.

26361125429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 26361125429760 in words is "twenty-six trillion, three hundred sixty-one billion, one hundred twenty-five million, four hundred twenty-nine thousand, seven hundred sixty".