11380654080 has 408 divisors, whose sum is σ = 41957399952. Its totient is φ = 2843738112.

The previous prime is 11380654049. The next prime is 11380654111. The reversal of 11380654080 is 8045608311.

11380654080 is a `hidden beast` number, since 1 + 1 + 38 + 0 + 6 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11380654049) and next prime (11380654111).

It is a tau number, because it is divible by the number of its divisors (408).

It is a super-4 number, since 4×11380654080⁴ (a number of 41 digits) contains 4444 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50134927 + ... + 50135153.

Almost surely, 2^11380654080 is an apocalyptic number.

11380654080 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 11380654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20978699976).

11380654080 is an abundant number, since it is smaller than the sum of its proper divisors (30576745872).

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

11380654080 is an equidigital number, since it uses as much as digits as its factorization.

11380654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11380654080 in words is "eleven billion, three hundred eighty million, six hundred fifty-four thousand, eighty".