10218834570000 has 800 divisors, whose sum is σ = 38266550784000. Its totient is φ = 2300884992000.

The previous prime is 10218834569963. The next prime is 10218834570029. The reversal of 10218834570000 is 7543881201.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4868428951 + ... + 4868431049.

It is an arithmetic number, because the mean of its divisors is an integer number (47833188480).

Almost surely, 2^{10218834570000} is an apocalyptic number.

10218834570000 is a gapful number since it is divisible by the number (10) 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 10218834570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19133275392000).

10218834570000 is an abundant number, since it is smaller than the sum of its proper divisors (28047716214000).

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

10218834570000 is a wasteful number, since it uses less digits than its factorization.

10218834570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 10218834570000 in words is "ten trillion, two hundred eighteen billion, eight hundred thirty-four million, five hundred seventy thousand".