11142654880 has 432 divisors, whose sum is σ = 33624170496. Its totient is φ = 3474938880.

The previous prime is 11142654877. The next prime is 11142654953. The reversal of 11142654880 is 8845624111.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87737377 + ... + 87737503.

It is an arithmetic number, because the mean of its divisors is an integer number (77833728).

Almost surely, 2^11142654880 is an apocalyptic number.

11142654880 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 11142654880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812085248).

11142654880 is an abundant number, since it is smaller than the sum of its proper divisors (22481515616).

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

11142654880 is a wasteful number, since it uses less digits than its factorization.

11142654880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 11142654880 in words is "eleven billion, one hundred forty-two million, six hundred fifty-four thousand, eight hundred eighty".