11732878080 has 576 divisors, whose sum is σ = 51920870400. Its totient is φ = 2437447680.

The previous prime is 11732877983. The next prime is 11732878093. The reversal of 11732878080 is 8087823711.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2658916 + ... + 2663324.

It is an arithmetic number, because the mean of its divisors is an integer number (90140400).

Almost surely, 2^11732878080 is an apocalyptic number.

11732878080 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 11732878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25960435200).

11732878080 is an abundant number, since it is smaller than the sum of its proper divisors (40187992320).

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

11732878080 is a wasteful number, since it uses less digits than its factorization.

11732878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 11732878080 in words is "eleven billion, seven hundred thirty-two million, eight hundred seventy-eight thousand, eighty".