11051520480 has 1728 divisors, whose sum is σ = 55338401664. Its totient is φ = 1946419200.

The previous prime is 11051520479. The next prime is 11051520481. The reversal of 11051520480 is 8402515011.

11051520480 is a `hidden beast` number, since 1 + 10 + 51 + 520 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11051520479) and next prime (11051520481).

It is a super-2 number, since 2×11051520480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11051520481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 269549260 + ... + 269549300.

It is an arithmetic number, because the mean of its divisors is an integer number (32024538).

Almost surely, 2^11051520480 is an apocalyptic number.

11051520480 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 11051520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27669200832).

11051520480 is an abundant number, since it is smaller than the sum of its proper divisors (44286881184).

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

11051520480 is a wasteful number, since it uses less digits than its factorization.

11051520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 11051520480 in words is "eleven billion, fifty-one million, five hundred twenty thousand, four hundred eighty".