2107064813700 has 576 divisors, whose sum is σ = 7855113240576. Its totient is φ = 423213120000.

The previous prime is 2107064813687. The next prime is 2107064813719. The reversal of 2107064813700 is 73184607012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1150771785 + ... + 1150773615.

It is an arithmetic number, because the mean of its divisors is an integer number (13637349376).

Almost surely, 2^{2107064813700} is an apocalyptic number.

2107064813700 is a gapful number since it is divisible by the number (20) 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 2107064813700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927556620288).

2107064813700 is an abundant number, since it is smaller than the sum of its proper divisors (5748048426876).

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

2107064813700 is a wasteful number, since it uses less digits than its factorization.

2107064813700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 2107064813700 in words is "two trillion, one hundred seven billion, sixty-four million, eight hundred thirteen thousand, seven hundred".