85201449960753 has 48 divisors (see below), whose sum is σ = 140927861757696. Its totient is φ = 48590387153280.

The previous prime is 85201449960691. The next prime is 85201449960763. The reversal of 85201449960753 is 35706994410258.

85201449960753 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 14 + 4 + 9 + 9 + 607 + 5 + 3 = 666.

It is not a de Polignac number, because 85201449960753 - 2¹³ = 85201449952561 is a prime.

It is a super-3 number, since 3×85201449960753³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (85201449960763) 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, 275679276 + ... + 275988162.

It is an arithmetic number, because the mean of its divisors is an integer number (2935997119952).

It is a 1-persistent number, because it is pandigital, but 2⋅85201449960753 = 170402899921506 is not.

Almost surely, 2^{85201449960753} is an apocalyptic number.

It is an amenable number.

85201449960753 is a deficient number, since it is larger than the sum of its proper divisors (55726411796943).

85201449960753 is a wasteful number, since it uses less digits than its factorization.

85201449960753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317534 (or 317531 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 85201449960753 in words is "eighty-five trillion, two hundred one billion, four hundred forty-nine million, nine hundred sixty thousand, seven hundred fifty-three".