85002921600 has 384 divisors, whose sum is σ = 298403758080. Its totient is φ = 21217996800.

The previous prime is 85002921593. The next prime is 85002921607. The reversal of 85002921600 is 612920058.

It is an interprime number because it is at equal distance from previous prime (85002921593) and next prime (85002921607).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (85002921607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10373505 + ... + 10381695.

It is an arithmetic number, because the mean of its divisors is an integer number (777093120).

Almost surely, 2^85002921600 is an apocalyptic number.

85002921600 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 85002921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149201879040).

85002921600 is an abundant number, since it is smaller than the sum of its proper divisors (213400836480).

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

85002921600 is a wasteful number, since it uses less digits than its factorization.

85002921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 85002921600 in words is "eighty-five billion, two million, nine hundred twenty-one thousand, six hundred".