85133612777472 has 1920 divisors, whose sum is σ = 306556977483120. Its totient is φ = 23597395476480.

The previous prime is 85133612777467. The next prime is 85133612777489. The reversal of 85133612777472 is 27477721633158.

It is a happy number.

85133612777472 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 3 + 612 + 7 + 7 + 7 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1166213873628 + ... + 1166213873700.

Almost surely, 2^{85133612777472} 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 85133612777472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153278488741560).

85133612777472 is an abundant number, since it is smaller than the sum of its proper divisors (221423364705648).

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

85133612777472 is an frugal number, since it uses more digits than its factorization.

85133612777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 146 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 85133612777472 in words is "eighty-five trillion, one hundred thirty-three billion, six hundred twelve million, seven hundred seventy-seven thousand, four hundred seventy-two".