11080578000 has 320 divisors, whose sum is σ = 37801580544. Its totient is φ = 2787840000.

The previous prime is 11080577983. The next prime is 11080578001. The reversal of 11080578000 is 87508011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11080578001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7625274 + ... + 7626726.

Almost surely, 2^11080578000 is an apocalyptic number.

11080578000 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 11080578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900790272).

11080578000 is an abundant number, since it is smaller than the sum of its proper divisors (26721002544).

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

11080578000 is a wasteful number, since it uses less digits than its factorization.

11080578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

It can be divided in two parts, 110805 and 78000, that added together give a triangular number (188805 = T₆₁₄).

The spelling of 11080578000 in words is "eleven billion, eighty million, five hundred seventy-eight thousand".