85071388900 has 27 divisors (see below), whose sum is σ = 184611243369. Its totient is φ = 34027388880.

The previous prime is 85071388889. The next prime is 85071388939. The reversal of 85071388900 is 988317058.

The square root of 85071388900 is 291670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30625700004 + 54445688896 = 175002^2 + 233336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2902117 + ... + 2931283.

Almost surely, 2^85071388900 is an apocalyptic number.

85071388900 is the 291670-th square number.

It is an amenable number.

85071388900 is an abundant number, since it is smaller than the sum of its proper divisors (99539854469).

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

85071388900 is an frugal number, since it uses more digits than its factorization.

85071388900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58348 (or 29174 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 85071388900 by its sum of digits (49), we get a square (4168498056100 = 2041690²).

The spelling of 85071388900 in words is "eighty-five billion, seventy-one million, three hundred eighty-eight thousand, nine hundred".