11011952640 has 416 divisors, whose sum is σ = 40225804416. Its totient is φ = 2548039680.

The previous prime is 11011952621. The next prime is 11011952671. The reversal of 11011952640 is 4625911011.

It is a tau number, because it is divible by the number of its divisors (416).

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 = 11011952598 and 11011952607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13577835 + ... + 13578645.

Almost surely, 2^11011952640 is an apocalyptic number.

11011952640 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 11011952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112902208).

11011952640 is an abundant number, since it is smaller than the sum of its proper divisors (29213851776).

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

11011952640 is a wasteful number, since it uses less digits than its factorization.

11011952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 11011952640 in words is "eleven billion, eleven million, nine hundred fifty-two thousand, six hundred forty".