1851164613120 has 960 divisors, whose sum is σ = 6607992061440. Its totient is φ = 440611799040.

The previous prime is 1851164613083. The next prime is 1851164613161. The reversal of 1851164613120 is 213164611581.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1851164613120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6029852007 + ... + 6029852313.

It is an arithmetic number, because the mean of its divisors is an integer number (6883325064).

Almost surely, 2^{1851164613120} is an apocalyptic number.

1851164613120 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 1851164613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303996030720).

1851164613120 is an abundant number, since it is smaller than the sum of its proper divisors (4756827448320).

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

1851164613120 is a wasteful number, since it uses less digits than its factorization.

1851164613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 1851164613120 in words is "one trillion, eight hundred fifty-one billion, one hundred sixty-four million, six hundred thirteen thousand, one hundred twenty".