1160146002420 has 192 divisors, whose sum is σ = 3777076800000. Its totient is φ = 295072284672.

The previous prime is 1160146002403. The next prime is 1160146002451. The reversal of 1160146002420 is 242006410611.

1160146002420 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 14 + 600 + 2 + 42 + 0 = 666.

It is a super-2 number, since 2×1160146002420² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4200756 + ... + 4468404.

It is an arithmetic number, because the mean of its divisors is an integer number (19672275000).

Almost surely, 2^{1160146002420} is an apocalyptic number.

1160146002420 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 1160146002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888538400000).

1160146002420 is an abundant number, since it is smaller than the sum of its proper divisors (2616930797580).

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

1160146002420 is a wasteful number, since it uses less digits than its factorization.

1160146002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268039 (or 268031 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1160146002420 in words is "one trillion, one hundred sixty billion, one hundred forty-six million, two thousand, four hundred twenty".