11012460768 has 72 divisors (see below), whose sum is σ = 31348430568. Its totient is φ = 3667099392.

The previous prime is 11012460763. The next prime is 11012460773. The reversal of 11012460768 is 86706421011.

It is a happy number.

11012460768 is a `hidden beast` number, since 110 + 12 + 460 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11012460763) and next prime (11012460773).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012460763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272871 + ... + 310617.

It is an arithmetic number, because the mean of its divisors is an integer number (435394869).

Almost surely, 2^11012460768 is an apocalyptic number.

11012460768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11012460768 is an abundant number, since it is smaller than the sum of its proper divisors (20335969800).

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

11012460768 is a wasteful number, since it uses less digits than its factorization.

11012460768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38776 (or 38765 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 11012460768 its reverse (86706421011), we get a palindrome (97718881779).

The spelling of 11012460768 in words is "eleven billion, twelve million, four hundred sixty thousand, seven hundred sixty-eight".