11778486720 has 1344 divisors, whose sum is σ = 54639277056. Its totient is φ = 2105671680.

The previous prime is 11778486719. The next prime is 11778486721. The reversal of 11778486720 is 2768487711.

It is an interprime number because it is at equal distance from previous prime (11778486719) and next prime (11778486721).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11778486721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114354189 + ... + 114354291.

It is an arithmetic number, because the mean of its divisors is an integer number (40654224).

Almost surely, 2^11778486720 is an apocalyptic number.

11778486720 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 11778486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319638528).

11778486720 is an abundant number, since it is smaller than the sum of its proper divisors (42860790336).

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

11778486720 is a wasteful number, since it uses less digits than its factorization.

11778486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 51.

Subtracting from 11778486720 its reverse (2768487711), we obtain a palindrome (9009999009).

The spelling of 11778486720 in words is "eleven billion, seven hundred seventy-eight million, four hundred eighty-six thousand, seven hundred twenty".