10552093440 has 288 divisors, whose sum is σ = 38644354560. Its totient is φ = 2403827712.

The previous prime is 10552093429. The next prime is 10552093481. The reversal of 10552093440 is 4439025501.

It is a super-2 number, since 2×10552093440² (a number of 21 digits) contains 22 as substring.

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, 12283731 + ... + 12284589.

Almost surely, 2^10552093440 is an apocalyptic number.

10552093440 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 10552093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322177280).

10552093440 is an abundant number, since it is smaller than the sum of its proper divisors (28092261120).

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

10552093440 is an equidigital number, since it uses as much as digits as its factorization.

10552093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10552093440 in words is "ten billion, five hundred fifty-two million, ninety-three thousand, four hundred forty".