85528000977 has 32 divisors (see below), whose sum is σ = 125028852480. Its totient is φ = 51764428800.

The previous prime is 85528000913. The next prime is 85528001023. The reversal of 85528000977 is 77900082558.

It is not a de Polignac number, because 85528000977 - 2⁶ = 85528000913 is a prime.

It is a super-2 number, since 2×85528000977² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (85528010977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544977 + ... + 1599377.

It is an arithmetic number, because the mean of its divisors is an integer number (3907151640).

Almost surely, 2^85528000977 is an apocalyptic number.

85528000977 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85528000977 is a deficient number, since it is larger than the sum of its proper divisors (39500851503).

85528000977 is a wasteful number, since it uses less digits than its factorization.

85528000977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55513.

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 85528000977 in words is "eighty-five billion, five hundred twenty-eight million, nine hundred seventy-seven", and thus it is an aban number.