11012766400 has 42 divisors (see below), whose sum is σ = 27098292260. Its totient is φ = 4405105920.

The previous prime is 11012766383. The next prime is 11012766409. The reversal of 11012766400 is 466721011.

It is not an unprimeable number, because it can be changed into a prime (11012766409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3439890 + ... + 3443089.

Almost surely, 2^11012766400 is an apocalyptic number.

11012766400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012766400 is an abundant number, since it is smaller than the sum of its proper divisors (16085525860).

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

11012766400 is an equidigital number, since it uses as much as digits as its factorization.

11012766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883001 (or 6882986 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 11012766400 in words is "eleven billion, twelve million, seven hundred sixty-six thousand, four hundred".