61265433735726 has 128 divisors (see below), whose sum is σ = 145468529648640. Its totient is φ = 16988054169600.

The previous prime is 61265433735719. The next prime is 61265433735739. The reversal of 61265433735726 is 62753733456216.

It is a self number, because there is not a number n which added to its sum of digits gives 61265433735726.

It is a congruent number.

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, 54197536 + ... + 55316396.

It is an arithmetic number, because the mean of its divisors is an integer number (1136472887880).

Almost surely, 2^{61265433735726} is an apocalyptic number.

61265433735726 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61265433735726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72734264824320).

61265433735726 is an abundant number, since it is smaller than the sum of its proper divisors (84203095912914).

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

61265433735726 is a wasteful number, since it uses less digits than its factorization.

61265433735726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120250.

The product of its digits is 114307200, while the sum is 60.

The spelling of 61265433735726 in words is "sixty-one trillion, two hundred sixty-five billion, four hundred thirty-three million, seven hundred thirty-five thousand, seven hundred twenty-six".