10509223400736 has 384 divisors, whose sum is σ = 30379354435584. Its totient is φ = 3167870238720.

The previous prime is 10509223400657. The next prime is 10509223400737. The reversal of 10509223400736 is 63700432290501.

It is a super-2 number, since 2×10509223400736² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10509223400737) 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, 1577721246 + ... + 1577727906.

It is an arithmetic number, because the mean of its divisors is an integer number (79112902176).

Almost surely, 2^{10509223400736} is an apocalyptic number.

10509223400736 is a gapful number since it is divisible by the number (16) 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 10509223400736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189677217792).

10509223400736 is an abundant number, since it is smaller than the sum of its proper divisors (19870131034848).

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

10509223400736 is a wasteful number, since it uses less digits than its factorization.

10509223400736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 10509223400736 in words is "ten trillion, five hundred nine billion, two hundred twenty-three million, four hundred thousand, seven hundred thirty-six".