85121990577252 has 144 divisors (see below), whose sum is σ = 228581280782400. Its totient is φ = 27392904967680.

The previous prime is 85121990577209. The next prime is 85121990577263. The reversal of 85121990577252 is 25277509912158.

85121990577252 is a `hidden beast` number, since 8 + 5 + 1 + 2 + 1 + 9 + 9 + 0 + 577 + 2 + 52 = 666.

It is a super-3 number, since 3×85121990577252³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85121990577252.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065463324 + ... + 1065543212.

Almost surely, 2^{85121990577252} 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 85121990577252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114290640391200).

85121990577252 is an abundant number, since it is smaller than the sum of its proper divisors (143459290205148).

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

85121990577252 is a wasteful number, since it uses less digits than its factorization.

85121990577252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91691 (or 91654 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 63.

The spelling of 85121990577252 in words is "eighty-five trillion, one hundred twenty-one billion, nine hundred ninety million, five hundred seventy-seven thousand, two hundred fifty-two".