11352197520 has 320 divisors, whose sum is σ = 42492518400. Its totient is φ = 2775098880.

The previous prime is 11352197473. The next prime is 11352197533. The reversal of 11352197520 is 2579125311.

11352197520 is a `hidden beast` number, since 11 + 35 + 2 + 1 + 97 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 1267779 + ... + 1276701.

It is an arithmetic number, because the mean of its divisors is an integer number (132789120).

Almost surely, 2^11352197520 is an apocalyptic number.

11352197520 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 11352197520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21246259200).

11352197520 is an abundant number, since it is smaller than the sum of its proper divisors (31140320880).

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

11352197520 is a wasteful number, since it uses less digits than its factorization.

11352197520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 11352197520 in words is "eleven billion, three hundred fifty-two million, one hundred ninety-seven thousand, five hundred twenty".