85954200520 has 16 divisors (see below), whose sum is σ = 193396951260. Its totient is φ = 34381680192.

The previous prime is 85954200517. The next prime is 85954200533. The reversal of 85954200520 is 2500245958.

It can be written as a sum of positive squares in 2 ways, for example, as 76102049956 + 9852150564 = 275866^2 + 99258^2 .

It is a super-3 number, since 3×85954200520³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2148855013 = 85954200520 / (8 + 5 + 9 + 5 + 4 + 2 + 0 + 0 + 5 + 2 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1074427467 + ... + 1074427546.

Almost surely, 2^85954200520 is an apocalyptic number.

It is an amenable number.

85954200520 is an abundant number, since it is smaller than the sum of its proper divisors (107442750740).

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

85954200520 is a wasteful number, since it uses less digits than its factorization.

85954200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148855024 (or 2148855020 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 85954200520 in words is "eighty-five billion, nine hundred fifty-four million, two hundred thousand, five hundred twenty".