11554373217920 has 128 divisors (see below), whose sum is σ = 29757038850000. Its totient is φ = 4264784068608.

The previous prime is 11554373217841. The next prime is 11554373217941. The reversal of 11554373217920 is 2971237345511.

It can be written as a sum of positive squares in 8 ways, for example, as 861525537856 + 10692847680064 = 928184^2 + 3269992^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 24468206 + ... + 24935954.

Almost surely, 2^{11554373217920} is an apocalyptic number.

11554373217920 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 11554373217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878519425000).

11554373217920 is an abundant number, since it is smaller than the sum of its proper divisors (18202665632080).

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

11554373217920 is a wasteful number, since it uses less digits than its factorization.

11554373217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470750 (or 470738 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 11554373217920 in words is "eleven trillion, five hundred fifty-four billion, three hundred seventy-three million, two hundred seventeen thousand, nine hundred twenty".