70828800000 has 1152 divisors, whose sum is σ = 294821130240. Its totient is φ = 14745600000.

The previous prime is 70828799981. The next prime is 70828800011. The reversal of 70828800000 is 882807.

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, 2284799985 + ... + 2284800015.

It is an arithmetic number, because the mean of its divisors is an integer number (255921120).

Almost surely, 2^70828800000 is an apocalyptic number.

70828800000 is a gapful number since it is divisible by the number (70) 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 70828800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147410565120).

70828800000 is an abundant number, since it is smaller than the sum of its proper divisors (223992330240).

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

70828800000 is an equidigital number, since it uses as much as digits as its factorization.

70828800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 70828800000 in words is "seventy billion, eight hundred twenty-eight million, eight hundred thousand".