2860172668080 has 800 divisors, whose sum is σ = 12248530043904. Its totient is φ = 602364045312.

The previous prime is 2860172668069. The next prime is 2860172668151. The reversal of 2860172668080 is 808662710682.

2860172668080 is a `hidden beast` number, since 2 + 8 + 601 + 7 + 26 + 6 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 346138029 + ... + 346146291.

Almost surely, 2^{2860172668080} is an apocalyptic number.

2860172668080 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 2860172668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124265021952).

2860172668080 is an abundant number, since it is smaller than the sum of its proper divisors (9388357375824).

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

2860172668080 is a wasteful number, since it uses less digits than its factorization.

2860172668080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2860172668080 in words is "two trillion, eight hundred sixty billion, one hundred seventy-two million, six hundred sixty-eight thousand, eighty".