11077070040 has 384 divisors, whose sum is σ = 39022663680. Its totient is φ = 2719180800.

The previous prime is 11077069981. The next prime is 11077070063. The reversal of 11077070040 is 4007077011.

11077070040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11077069986 and 11077070013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19674799 + ... + 19675361.

It is an arithmetic number, because the mean of its divisors is an integer number (101621520).

Almost surely, 2^11077070040 is an apocalyptic number.

11077070040 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 11077070040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511331840).

11077070040 is an abundant number, since it is smaller than the sum of its proper divisors (27945593640).

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

11077070040 is a wasteful number, since it uses less digits than its factorization.

11077070040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 11077070040 in words is "eleven billion, seventy-seven million, seventy thousand, forty".