85377273829632 has 216 divisors, whose sum is σ = 251477169914880. Its totient is φ = 27845167841280.

The previous prime is 85377273829613. The next prime is 85377273829637. The reversal of 85377273829632 is 23692837277358.

85377273829632 is a `hidden beast` number, since 8 + 5 + 37 + 7 + 273 + 8 + 296 + 32 = 666.

It is a super-2 number, since 2×85377273829632² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (85377273829637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363622032 + ... + 363856752.

Almost surely, 2^{85377273829632} 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 85377273829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125738584957440).

85377273829632 is an abundant number, since it is smaller than the sum of its proper divisors (166099896085248).

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

85377273829632 is a wasteful number, since it uses less digits than its factorization.

85377273829632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238149 (or 238132 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 85377273829632 in words is "eighty-five trillion, three hundred seventy-seven billion, two hundred seventy-three million, eight hundred twenty-nine thousand, six hundred thirty-two".