85761519437136 has 160 divisors (see below), whose sum is σ = 234831304120320. Its totient is φ = 26877107238912.

The previous prime is 85761519437129. The next prime is 85761519437137. The reversal of 85761519437136 is 63173491516758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85761519437137) 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, 3719209575 + ... + 3719232633.

It is an arithmetic number, because the mean of its divisors is an integer number (1467695650752).

Almost surely, 2^{85761519437136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85761519437136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117415652060160).

85761519437136 is an abundant number, since it is smaller than the sum of its proper divisors (149069784683184).

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

85761519437136 is a wasteful number, since it uses less digits than its factorization.

85761519437136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27713 (or 27707 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 66.

The spelling of 85761519437136 in words is "eighty-five trillion, seven hundred sixty-one billion, five hundred nineteen million, four hundred thirty-seven thousand, one hundred thirty-six".