11022612480 has 576 divisors, whose sum is σ = 42499416960. Its totient is φ = 2619801600.

The previous prime is 11022612457. The next prime is 11022612493. The reversal of 11022612480 is 8421622011.

11022612480 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 612 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84142015 + ... + 84142145.

It is an arithmetic number, because the mean of its divisors is an integer number (73783710).

Almost surely, 2^11022612480 is an apocalyptic number.

11022612480 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 11022612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21249708480).

11022612480 is an abundant number, since it is smaller than the sum of its proper divisors (31476804480).

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

11022612480 is a wasteful number, since it uses less digits than its factorization.

11022612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 11022612480 in words is "eleven billion, twenty-two million, six hundred twelve thousand, four hundred eighty".