11878289280 has 1536 divisors, whose sum is σ = 54698112000. Its totient is φ = 2408693760.

The previous prime is 11878289219. The next prime is 11878289321. The reversal of 11878289280 is 8298287811.

11878289280 is a `hidden beast` number, since 1 + 1 + 87 + 8 + 289 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516447349 + ... + 516447371.

It is an arithmetic number, because the mean of its divisors is an integer number (35610750).

Almost surely, 2^11878289280 is an apocalyptic number.

11878289280 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 11878289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056000).

11878289280 is an abundant number, since it is smaller than the sum of its proper divisors (42819822720).

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

11878289280 is a wasteful number, since it uses less digits than its factorization.

11878289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 11878289280 in words is "eleven billion, eight hundred seventy-eight million, two hundred eighty-nine thousand, two hundred eighty".