85676760972 has 288 divisors, whose sum is σ = 255930554880. Its totient is φ = 23893309440.

The previous prime is 85676760947. The next prime is 85676761003. The reversal of 85676760972 is 27906767658.

85676760972 is a `hidden beast` number, since 8 + 567 + 6 + 7 + 60 + 9 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144479908 + ... + 144480500.

It is an arithmetic number, because the mean of its divisors is an integer number (888647760).

Almost surely, 2^85676760972 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 85676760972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127965277440).

85676760972 is an abundant number, since it is smaller than the sum of its proper divisors (170253793908).

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

85676760972 is a wasteful number, since it uses less digits than its factorization.

85676760972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

It can be divided in two parts, 85676 and 760972, that added together give a palindrome (846648).

The spelling of 85676760972 in words is "eighty-five billion, six hundred seventy-six million, seven hundred sixty thousand, nine hundred seventy-two".