85346963730 has 144 divisors (see below), whose sum is σ = 264134654784. Its totient is φ = 19054163520.

The previous prime is 85346963711. The next prime is 85346963777. The reversal of 85346963730 is 3736964358.

85346963730 is a `hidden beast` number, since 8 + 53 + 469 + 63 + 73 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35406 + ... + 414665.

It is an arithmetic number, because the mean of its divisors is an integer number (1834268436).

Almost surely, 2^85346963730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85346963730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132067327392).

85346963730 is an abundant number, since it is smaller than the sum of its proper divisors (178787691054).

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

85346963730 is a wasteful number, since it uses less digits than its factorization.

85346963730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450141 (or 450131 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

It can be divided in two parts, 85346 and 963730, that added together give a triangular number (1049076 = T₁₄₄₈).

The spelling of 85346963730 in words is "eighty-five billion, three hundred forty-six million, nine hundred sixty-three thousand, seven hundred thirty".