11111640540 has 480 divisors, whose sum is σ = 42424435200. Its totient is φ = 2115970560.

The previous prime is 11111640539. The next prime is 11111640557. The reversal of 11111640540 is 4504611111.

It is a self number, because there is not a number n which added to its sum of digits gives 11111640540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 79939791 + ... + 79939929.

It is an arithmetic number, because the mean of its divisors is an integer number (88384240).

Almost surely, 2^11111640540 is an apocalyptic number.

11111640540 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 11111640540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212217600).

11111640540 is an abundant number, since it is smaller than the sum of its proper divisors (31312794660).

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

11111640540 is a wasteful number, since it uses less digits than its factorization.

11111640540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 11111640540 in words is "eleven billion, one hundred eleven million, six hundred forty thousand, five hundred forty".