85734929280 has 1024 divisors, whose sum is σ = 379020902400. Its totient is φ = 15903129600.

The previous prime is 85734929263. The next prime is 85734929303. The reversal of 85734929280 is 8292943758.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85734929280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59578801 + ... + 59580239.

It is an arithmetic number, because the mean of its divisors is an integer number (370137600).

Almost surely, 2^85734929280 is an apocalyptic number.

85734929280 is a gapful number since it is divisible by the number (80) 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 85734929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189510451200).

85734929280 is an abundant number, since it is smaller than the sum of its proper divisors (293285973120).

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

85734929280 is a wasteful number, since it uses less digits than its factorization.

85734929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 85734929280 in words is "eighty-five billion, seven hundred thirty-four million, nine hundred twenty-nine thousand, two hundred eighty".