85298129280 has 768 divisors, whose sum is σ = 364332608640. Its totient is φ = 17907056640.

The previous prime is 85298129263. The next prime is 85298129297. The reversal of 85298129280 is 8292189258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85298129263) and next prime (85298129297).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185028250 + ... + 185028710.

Almost surely, 2^85298129280 is an apocalyptic number.

85298129280 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 85298129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182166304320).

85298129280 is an abundant number, since it is smaller than the sum of its proper divisors (279034479360).

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

85298129280 is a wasteful number, since it uses less digits than its factorization.

85298129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 85298129280 in words is "eighty-five billion, two hundred ninety-eight million, one hundred twenty-nine thousand, two hundred eighty".