17420849874120 has 1024 divisors, whose sum is σ = 69457554432000. Its totient is φ = 3386105856000.

The previous prime is 17420849874107. The next prime is 17420849874149. The reversal of 17420849874120 is 2147894802471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7677764346 + ... + 7677766614.

It is an arithmetic number, because the mean of its divisors is an integer number (67829643000).

Almost surely, 2^{17420849874120} is an apocalyptic number.

17420849874120 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 17420849874120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34728777216000).

17420849874120 is an abundant number, since it is smaller than the sum of its proper divisors (52036704557880).

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

17420849874120 is a wasteful number, since it uses less digits than its factorization.

17420849874120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 17420849874120 in words is "seventeen trillion, four hundred twenty billion, eight hundred forty-nine million, eight hundred seventy-four thousand, one hundred twenty".