11878361040 has 960 divisors, whose sum is σ = 50818461696. Its totient is φ = 2235138048.

The previous prime is 11878360957. The next prime is 11878361041. The reversal of 11878361040 is 4016387811.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11878361040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11878361041) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 111012667 + ... + 111012773.

Almost surely, 2^11878361040 is an apocalyptic number.

11878361040 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 11878361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25409230848).

11878361040 is an abundant number, since it is smaller than the sum of its proper divisors (38940100656).

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

11878361040 is a wasteful number, since it uses less digits than its factorization.

11878361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 11878361040 in words is "eleven billion, eight hundred seventy-eight million, three hundred sixty-one thousand, forty".