10532797440 has 704 divisors, whose sum is σ = 41173194240. Its totient is φ = 2264924160.

The previous prime is 10532797417. The next prime is 10532797447. The reversal of 10532797440 is 4479723501.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×10532797440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10532797392 and 10532797401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532797447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54573984 + ... + 54574176.

Almost surely, 2^10532797440 is an apocalyptic number.

10532797440 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 10532797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586597120).

10532797440 is an abundant number, since it is smaller than the sum of its proper divisors (30640396800).

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

10532797440 is a wasteful number, since it uses less digits than its factorization.

10532797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 10532797440 in words is "ten billion, five hundred thirty-two million, seven hundred ninety-seven thousand, four hundred forty".