11385615780 has 288 divisors, whose sum is σ = 43324968960. Its totient is φ = 2351197440.

The previous prime is 11385615743. The next prime is 11385615781. The reversal of 11385615780 is 8751658311.

11385615780 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 561 + 5 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11385615781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2312161 + ... + 2317079.

It is an arithmetic number, because the mean of its divisors is an integer number (150433920).

Almost surely, 2^11385615780 is an apocalyptic number.

11385615780 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 11385615780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21662484480).

11385615780 is an abundant number, since it is smaller than the sum of its proper divisors (31939353180).

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

11385615780 is a wasteful number, since it uses less digits than its factorization.

11385615780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 11385615780 in words is "eleven billion, three hundred eighty-five million, six hundred fifteen thousand, seven hundred eighty".