85974321510 has 1536 divisors, whose sum is σ = 340402176000. Its totient is φ = 15153868800.

The previous prime is 85974321469. The next prime is 85974321547. The reversal of 85974321510 is 1512347958.

85974321510 is a `hidden beast` number, since 8 + 5 + 97 + 43 + 2 + 1 + 510 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1457191861 + ... + 1457191919.

It is an arithmetic number, because the mean of its divisors is an integer number (221616000).

Almost surely, 2^85974321510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85974321510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170201088000).

85974321510 is an abundant number, since it is smaller than the sum of its proper divisors (254427854490).

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

85974321510 is a wasteful number, since it uses less digits than its factorization.

85974321510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 85974321510 in words is "eighty-five billion, nine hundred seventy-four million, three hundred twenty-one thousand, five hundred ten".