10564396050000 has 480 divisors, whose sum is σ = 36796233640320. Its totient is φ = 2596204800000.

The previous prime is 10564396049953. The next prime is 10564396050001. The reversal of 10564396050000 is 5069346501.

10564396050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10564396050000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564396050001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285045890 + ... + 1285054110.

It is an arithmetic number, because the mean of its divisors is an integer number (76658820084).

Almost surely, 2^{10564396050000} is an apocalyptic number.

10564396050000 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 10564396050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398116820160).

10564396050000 is an abundant number, since it is smaller than the sum of its proper divisors (26231837590320).

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

10564396050000 is an equidigital number, since it uses as much as digits as its factorization.

10564396050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 10564396050000 in words is "ten trillion, five hundred sixty-four billion, three hundred ninety-six million, fifty thousand".