85974538500 has 144 divisors (see below), whose sum is σ = 276992352000. Its totient is φ = 22438689600.

The previous prime is 85974538439. The next prime is 85974538513. The reversal of 85974538500 is 583547958.

85974538500 is a `hidden beast` number, since 8 + 5 + 97 + 45 + 3 + 8 + 500 = 666.

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, 8251 + ... + 414749.

It is an arithmetic number, because the mean of its divisors is an integer number (1923558000).

Almost surely, 2^85974538500 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 85974538500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138496176000).

85974538500 is an abundant number, since it is smaller than the sum of its proper divisors (191017813500).

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

85974538500 is a wasteful number, since it uses less digits than its factorization.

85974538500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406571 (or 406556 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 85974538500 in words is "eighty-five billion, nine hundred seventy-four million, five hundred thirty-eight thousand, five hundred".