85315053824 has 216 divisors, whose sum is σ = 229047271488. Its totient is φ = 30629560320.

The previous prime is 85315053797. The next prime is 85315053839. The reversal of 85315053824 is 42835051358.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147859424 + ... + 147860000.

Almost surely, 2^85315053824 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 85315053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114523635744).

85315053824 is an abundant number, since it is smaller than the sum of its proper divisors (143732217664).

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

85315053824 is an equidigital number, since it uses as much as digits as its factorization.

85315053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 85315053824 in words is "eighty-five billion, three hundred fifteen million, fifty-three thousand, eight hundred twenty-four".