11033192640 has 224 divisors, whose sum is σ = 36386390016. Its totient is φ = 2829496320.

The previous prime is 11033192623. The next prime is 11033192641. The reversal of 11033192640 is 4629133011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11033192598 and 11033192607.

It is not an unprimeable number, because it can be changed into a prime (11033192641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5147409 + ... + 5149551.

Almost surely, 2^11033192640 is an apocalyptic number.

11033192640 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 11033192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18193195008).

11033192640 is an abundant number, since it is smaller than the sum of its proper divisors (25353197376).

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

11033192640 is a wasteful number, since it uses less digits than its factorization.

11033192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 11033192640 in words is "eleven billion, thirty-three million, one hundred ninety-two thousand, six hundred forty".