85177444404 has 192 divisors, whose sum is σ = 234987379200. Its totient is φ = 23794974720.

The previous prime is 85177444399. The next prime is 85177444409. The reversal of 85177444404 is 40444477158.

It is an interprime number because it is at equal distance from previous prime (85177444399) and next prime (85177444409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85177444409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5435172 + ... + 5450820.

It is an arithmetic number, because the mean of its divisors is an integer number (1223892600).

Almost surely, 2^85177444404 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 85177444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117493689600).

85177444404 is an abundant number, since it is smaller than the sum of its proper divisors (149809934796).

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

85177444404 is a wasteful number, since it uses less digits than its factorization.

85177444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15770 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 48.

The spelling of 85177444404 in words is "eighty-five billion, one hundred seventy-seven million, four hundred forty-four thousand, four hundred four".