85630914540 has 144 divisors (see below), whose sum is σ = 276099026112. Its totient is φ = 21407858688.

The previous prime is 85630914487. The next prime is 85630914559. The reversal of 85630914540 is 4541903658.

85630914540 is a `hidden beast` number, since 8 + 5 + 630 + 9 + 1 + 4 + 5 + 4 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 731977 + ... + 840863.

It is an arithmetic number, because the mean of its divisors is an integer number (1917354348).

Almost surely, 2^85630914540 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 85630914540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138049513056).

85630914540 is an abundant number, since it is smaller than the sum of its proper divisors (190468111572).

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

85630914540 is a wasteful number, since it uses less digits than its factorization.

85630914540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109176 (or 109171 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 85630914540 in words is "eighty-five billion, six hundred thirty million, nine hundred fourteen thousand, five hundred forty".