11351577840 has 160 divisors (see below), whose sum is σ = 35988696576. Its totient is φ = 2958996480.

The previous prime is 11351577761. The next prime is 11351577863. The reversal of 11351577840 is 4877515311.

It is a super-3 number, since 3×11351577840³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11351577792 and 11351577801.

It is a congruent number.

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, 2442559 + ... + 2447201.

Almost surely, 2^11351577840 is an apocalyptic number.

11351577840 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 11351577840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994348288).

11351577840 is an abundant number, since it is smaller than the sum of its proper divisors (24637118736).

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

11351577840 is a wasteful number, since it uses less digits than its factorization.

11351577840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 11351577840 in words is "eleven billion, three hundred fifty-one million, five hundred seventy-seven thousand, eight hundred forty".