13166778240 has 576 divisors, whose sum is σ = 57711391920. Its totient is φ = 2735308800.

The previous prime is 13166778187. The next prime is 13166778271. The reversal of 13166778240 is 4287766131.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3102520 + ... + 3106760.

Almost surely, 2^13166778240 is an apocalyptic number.

13166778240 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 13166778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28855695960).

13166778240 is an abundant number, since it is smaller than the sum of its proper divisors (44544613680).

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

13166778240 is a wasteful number, since it uses less digits than its factorization.

13166778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13166778240 in words is "thirteen billion, one hundred sixty-six million, seven hundred seventy-eight thousand, two hundred forty".