85577531130 has 384 divisors, whose sum is σ = 285759871488. Its totient is φ = 17943524352.

The previous prime is 85577531101. The next prime is 85577531141. The reversal of 85577531130 is 3113577558.

85577531130 is a `hidden beast` number, since 8 + 557 + 7 + 53 + 11 + 30 = 666.

It is a super-2 number, since 2×85577531130² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38254372 + ... + 38256608.

It is an arithmetic number, because the mean of its divisors is an integer number (744166332).

Almost surely, 2^85577531130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85577531130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142879935744).

85577531130 is an abundant number, since it is smaller than the sum of its proper divisors (200182340358).

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

85577531130 is a wasteful number, since it uses less digits than its factorization.

85577531130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 85577531130 in words is "eighty-five billion, five hundred seventy-seven million, five hundred thirty-one thousand, one hundred thirty".