11428420792320 has 832 divisors, whose sum is σ = 47008172590080. Its totient is φ = 2612138803200.

The previous prime is 11428420792303. The next prime is 11428420792337. The reversal of 11428420792320 is 2329702482411.

11428420792320 is a `hidden beast` number, since 1 + 1 + 42 + 84 + 207 + 9 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (11428420792303) and next prime (11428420792337).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313510095 + ... + 313546545.

It is an arithmetic number, because the mean of its divisors is an integer number (56500207440).

Almost surely, 2^{11428420792320} is an apocalyptic number.

11428420792320 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 11428420792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23504086295040).

11428420792320 is an abundant number, since it is smaller than the sum of its proper divisors (35579751797760).

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

11428420792320 is an frugal number, since it uses more digits than its factorization.

11428420792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36508 (or 36468 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11428420792320 in words is "eleven trillion, four hundred twenty-eight billion, four hundred twenty million, seven hundred ninety-two thousand, three hundred twenty".