85277229193728 has 1800 divisors, whose sum is σ = 310953226434048. Its totient is φ = 23064238080000.

The previous prime is 85277229193721. The next prime is 85277229193747. The reversal of 85277229193728 is 82739192277258.

85277229193728 is a `hidden beast` number, since 8 + 5 + 27 + 7 + 229 + 1 + 9 + 372 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (426746880) is a multiple of the sum of its prime factors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85277229193721) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 74089685953 + ... + 74089687103.

Almost surely, 2^{85277229193728} is an apocalyptic number.

85277229193728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85277229193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155476613217024).

85277229193728 is an abundant number, since it is smaller than the sum of its proper divisors (225675997240320).

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

85277229193728 is a wasteful number, since it uses less digits than its factorization.

85277229193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1211 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 85277229193728 in words is "eighty-five trillion, two hundred seventy-seven billion, two hundred twenty-nine million, one hundred ninety-three thousand, seven hundred twenty-eight".