85427901936 has 480 divisors, whose sum is σ = 274252655040. Its totient is φ = 25736196096.

The previous prime is 85427901887. The next prime is 85427901943. The reversal of 85427901936 is 63910972458.

85427901936 is a `hidden beast` number, since 8 + 542 + 7 + 9 + 0 + 1 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623561260 + ... + 623561396.

It is an arithmetic number, because the mean of its divisors is an integer number (571359698).

It is a 1-persistent number, because it is pandigital, but 2⋅85427901936 = 170855803872 is not.

Almost surely, 2^85427901936 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 85427901936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137126327520).

85427901936 is an abundant number, since it is smaller than the sum of its proper divisors (188824753104).

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

85427901936 is a wasteful number, since it uses less digits than its factorization.

85427901936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 85427901936 in words is "eighty-five billion, four hundred twenty-seven million, nine hundred one thousand, nine hundred thirty-six".