11551386420 has 216 divisors, whose sum is σ = 40837168008. Its totient is φ = 2635315200.

The previous prime is 11551386419. The next prime is 11551386461. The reversal of 11551386420 is 2468315511.

11551386420 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 3 + 8 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71978256 + 11479408164 = 8484^2 + 107142^2 .

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6711160 + ... + 6712880.

It is an arithmetic number, because the mean of its divisors is an integer number (189060963).

Almost surely, 2^11551386420 is an apocalyptic number.

11551386420 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 11551386420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418584004).

11551386420 is an abundant number, since it is smaller than the sum of its proper divisors (29285781588).

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

11551386420 is a wasteful number, since it uses less digits than its factorization.

11551386420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11551386420 in words is "eleven billion, five hundred fifty-one million, three hundred eighty-six thousand, four hundred twenty".