85342820751 has 40 divisors (see below), whose sum is σ = 130983961680. Its totient is φ = 55335975552.

The previous prime is 85342820743. The next prime is 85342820767. The reversal of 85342820751 is 15702824358.

85342820751 is a `hidden beast` number, since 8 + 534 + 28 + 20 + 75 + 1 = 666.

It is not a de Polignac number, because 85342820751 - 2³ = 85342820743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85342820697 and 85342820706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85342820701) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12155320 + ... + 12162338.

It is an arithmetic number, because the mean of its divisors is an integer number (3274599042).

Almost surely, 2^85342820751 is an apocalyptic number.

85342820751 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85342820751 is a deficient number, since it is larger than the sum of its proper divisors (45641140929).

85342820751 is a wasteful number, since it uses less digits than its factorization.

85342820751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 85342820751 in words is "eighty-five billion, three hundred forty-two million, eight hundred twenty thousand, seven hundred fifty-one".