11019898501920 has 768 divisors, whose sum is σ = 48109004697600. Its totient is φ = 2288793231360.

The previous prime is 11019898501877. The next prime is 11019898501957. The reversal of 11019898501920 is 2910589891011.

It is a happy number.

11019898501920 is a `hidden beast` number, since 1 + 10 + 19 + 8 + 98 + 501 + 9 + 20 = 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 870512551 + ... + 870525209.

It is an arithmetic number, because the mean of its divisors is an integer number (62641933200).

Almost surely, 2^{11019898501920} is an apocalyptic number.

11019898501920 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 11019898501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24054502348800).

11019898501920 is an abundant number, since it is smaller than the sum of its proper divisors (37089106195680).

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

11019898501920 is a wasteful number, since it uses less digits than its factorization.

11019898501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15318 (or 15304 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 54.

The spelling of 11019898501920 in words is "eleven trillion, nineteen billion, eight hundred ninety-eight million, five hundred one thousand, nine hundred twenty".