11278219680 has 960 divisors, whose sum is σ = 50038103808. Its totient is φ = 2329067520.

The previous prime is 11278219661. The next prime is 11278219681. The reversal of 11278219680 is 8691287211.

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

It is not an unprimeable number, because it can be changed into a prime (11278219681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86093215 + ... + 86093345.

Almost surely, 2^11278219680 is an apocalyptic number.

11278219680 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 11278219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25019051904).

11278219680 is an abundant number, since it is smaller than the sum of its proper divisors (38759884128).

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

11278219680 is a wasteful number, since it uses less digits than its factorization.

11278219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11278219680 in words is "eleven billion, two hundred seventy-eight million, two hundred nineteen thousand, six hundred eighty".