85312248000000 has 1120 divisors, whose sum is σ = 335171429750784. Its totient is φ = 18869760000000.

The previous prime is 85312247999933. The next prime is 85312248000053. The reversal of 85312248000000 is 84221358.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5207991810 + ... + 5208008190.

Almost surely, 2^{85312248000000} is an apocalyptic number.

85312248000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85312248000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167585714875392).

85312248000000 is an abundant number, since it is smaller than the sum of its proper divisors (249859181750784).

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

85312248000000 is an frugal number, since it uses more digits than its factorization.

85312248000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16470 (or 16429 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 85312248000000 in words is "eighty-five trillion, three hundred twelve billion, two hundred forty-eight million", and thus it is an aban number.