11197351249920 has 960 divisors, whose sum is σ = 44803181142720. Its totient is φ = 2651288371200.

The previous prime is 11197351249919. The next prime is 11197351249937. The reversal of 11197351249920 is 2994215379111.

11197351249920 is a `hidden beast` number, since 1 + 1 + 1 + 97 + 35 + 12 + 499 + 20 = 666.

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

It is a super-3 number, since 3×11197351249920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 392310850 + ... + 392339390.

It is an arithmetic number, because the mean of its divisors is an integer number (46669980357).

Almost surely, 2^{11197351249920} is an apocalyptic number.

11197351249920 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 11197351249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22401590571360).

11197351249920 is an abundant number, since it is smaller than the sum of its proper divisors (33605829892800).

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

11197351249920 is a wasteful number, since it uses less digits than its factorization.

11197351249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28634 (or 28605 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 11197351249920 in words is "eleven trillion, one hundred ninety-seven billion, three hundred fifty-one million, two hundred forty-nine thousand, nine hundred twenty".