10652646400 has 396 divisors, whose sum is σ = 30720802840. Its totient is φ = 3649536000.

The previous prime is 10652646373. The next prime is 10652646439. The reversal of 10652646400 is 464625601.

It is a super-2 number, since 2×10652646400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58854310 + ... + 58854490.

Almost surely, 2^10652646400 is an apocalyptic number.

10652646400 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 10652646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360401420).

10652646400 is an abundant number, since it is smaller than the sum of its proper divisors (20068156440).

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

10652646400 is a wasteful number, since it uses less digits than its factorization.

10652646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 10652646400 in words is "ten billion, six hundred fifty-two million, six hundred forty-six thousand, four hundred".