10859200371072 has 320 divisors, whose sum is σ = 34226983985040. Its totient is φ = 3405892976640.

The previous prime is 10859200371037. The next prime is 10859200371101. The reversal of 10859200371072 is 27017300295801.

10859200371072 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 9 + 200 + 371 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 997074747 + ... + 997085637.

Almost surely, 2^{10859200371072} is an apocalyptic number.

10859200371072 is a gapful number since it is divisible by the number (12) 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 10859200371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113491992520).

10859200371072 is an abundant number, since it is smaller than the sum of its proper divisors (23367783613968).

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

10859200371072 is a wasteful number, since it uses less digits than its factorization.

10859200371072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16591 (or 16570 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10859200371072 in words is "ten trillion, eight hundred fifty-nine billion, two hundred million, three hundred seventy-one thousand, seventy-two".