85292009964 has 96 divisors (see below), whose sum is σ = 266018009600. Its totient is φ = 23086555200.

The previous prime is 85292009947. The next prime is 85292009993. The reversal of 85292009964 is 46990029258.

It is a happy number.

85292009964 is a `hidden beast` number, since 8 + 529 + 20 + 0 + 9 + 96 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 85292009964.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2954587 + ... + 2983314.

Almost surely, 2^85292009964 is an apocalyptic number.

85292009964 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85292009964 is an abundant number, since it is smaller than the sum of its proper divisors (180725999636).

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

85292009964 is a wasteful number, since it uses less digits than its factorization.

85292009964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937940 (or 5937932 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 85292009964 in words is "eighty-five billion, two hundred ninety-two million, nine thousand, nine hundred sixty-four".