85770435127 has 16 divisors (see below), whose sum is σ = 93900552480. Its totient is φ = 77859734400.

The previous prime is 85770435097. The next prime is 85770435167. The reversal of 85770435127 is 72153407758.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85770435127 - 2¹⁹ = 85769910839 is a prime.

It is a super-2 number, since 2×85770435127² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85770435167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7401624 + ... + 7413202.

It is an arithmetic number, because the mean of its divisors is an integer number (5868784530).

Almost surely, 2^85770435127 is an apocalyptic number.

85770435127 is a deficient number, since it is larger than the sum of its proper divisors (8130117353).

85770435127 is a wasteful number, since it uses less digits than its factorization.

85770435127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20994.

The product of its (nonzero) digits is 1646400, while the sum is 49.

The spelling of 85770435127 in words is "eighty-five billion, seven hundred seventy million, four hundred thirty-five thousand, one hundred twenty-seven".