85072161771520 has 624 divisors, whose sum is σ = 267601998746880. Its totient is φ = 25363010027520.

The previous prime is 85072161771517. The next prime is 85072161771523. The reversal of 85072161771520 is 2517716127058.

It is an interprime number because it is at equal distance from previous prime (85072161771517) and next prime (85072161771523).

It is a super-2 number, since 2×85072161771520² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85072161771523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398864266 + ... + 399077494.

Almost surely, 2^{85072161771520} is an apocalyptic number.

85072161771520 is a gapful number since it is divisible by the number (80) 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 85072161771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133800999373440).

85072161771520 is an abundant number, since it is smaller than the sum of its proper divisors (182529836975360).

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

85072161771520 is a wasteful number, since it uses less digits than its factorization.

85072161771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213310 (or 213277 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 52.

Adding to 85072161771520 its reverse (2517716127058), we get a palindrome (87589877898578).

The spelling of 85072161771520 in words is "eighty-five trillion, seventy-two billion, one hundred sixty-one million, seven hundred seventy-one thousand, five hundred twenty".