11810979840 has 480 divisors, whose sum is σ = 43824945024. Its totient is φ = 2684354560.

The previous prime is 11810979833. The next prime is 11810979883. The reversal of 11810979840 is 4897901811.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 11810979840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45956992 + ... + 45957248.

Almost surely, 2^11810979840 is an apocalyptic number.

11810979840 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 11810979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912472512).

11810979840 is an abundant number, since it is smaller than the sum of its proper divisors (32013965184).

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

11810979840 is a wasteful number, since it uses less digits than its factorization.

11810979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 48.

The spelling of 11810979840 in words is "eleven billion, eight hundred ten million, nine hundred seventy-nine thousand, eight hundred forty".