85387704600 has 192 divisors, whose sum is σ = 296571018240. Its totient is φ = 20140531200.

The previous prime is 85387704593. The next prime is 85387704613. The reversal of 85387704600 is 640778358.

It is a super-2 number, since 2×85387704600² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85387704600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69369 + ... + 419031.

It is an arithmetic number, because the mean of its divisors is an integer number (1544640720).

Almost surely, 2^85387704600 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 85387704600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148285509120).

85387704600 is an abundant number, since it is smaller than the sum of its proper divisors (211183313640).

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

85387704600 is a wasteful number, since it uses less digits than its factorization.

85387704600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349730 (or 349721 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

It can be divided in two parts, 85387 and 704600, that added together give a palindrome (789987).

The spelling of 85387704600 in words is "eighty-five billion, three hundred eighty-seven million, seven hundred four thousand, six hundred".