85122738155520 has 2080 divisors, whose sum is σ = 336376730289600. Its totient is φ = 20464835493888.

The previous prime is 85122738155513. The next prime is 85122738155563. The reversal of 85122738155520 is 2555183722158.

85122738155520 is a `hidden beast` number, since 8 + 5 + 1 + 2 + 2 + 7 + 3 + 81 + 5 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 218824519486 + ... + 218824519874.

It is an arithmetic number, because the mean of its divisors is an integer number (161719581870).

Almost surely, 2^{85122738155520} is an apocalyptic number.

85122738155520 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 85122738155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168188365144800).

85122738155520 is an abundant number, since it is smaller than the sum of its proper divisors (251253992134080).

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

85122738155520 is a wasteful number, since it uses less digits than its factorization.

85122738155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 85122738155520 in words is "eighty-five trillion, one hundred twenty-two billion, seven hundred thirty-eight million, one hundred fifty-five thousand, five hundred twenty".