11510793840 has 960 divisors, whose sum is σ = 48902870016. Its totient is φ = 2210955264.

The previous prime is 11510793781. The next prime is 11510793881. The reversal of 11510793840 is 4839701511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111755229 + ... + 111755331.

Almost surely, 2^11510793840 is an apocalyptic number.

11510793840 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 11510793840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451435008).

11510793840 is an abundant number, since it is smaller than the sum of its proper divisors (37392076176).

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

11510793840 is a wasteful number, since it uses less digits than its factorization.

11510793840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 11510793840 in words is "eleven billion, five hundred ten million, seven hundred ninety-three thousand, eight hundred forty".