85539191400 has 240 divisors, whose sum is σ = 319944170700. Its totient is φ = 21055749120.

The previous prime is 85539191351. The next prime is 85539191429. The reversal of 85539191400 is 419193558.

85539191400 is a `hidden beast` number, since 8 + 5 + 53 + 9 + 191 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 44831286756 + 40707904644 = 211734^2 + 201762^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7516 + ... + 413684.

Almost surely, 2^85539191400 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 85539191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159972085350).

85539191400 is an abundant number, since it is smaller than the sum of its proper divisors (234404979300).

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

85539191400 is a wasteful number, since it uses less digits than its factorization.

85539191400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406210 (or 406192 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 85539191400 in words is "eighty-five billion, five hundred thirty-nine million, one hundred ninety-one thousand, four hundred".