10643254415120 has 80 divisors (see below), whose sum is σ = 25250729296320. Its totient is φ = 4170635868672.

The previous prime is 10643254415107. The next prime is 10643254415179. The reversal of 10643254415120 is 2151445234601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10643254415120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889607 + ... + 4698713.

It is an arithmetic number, because the mean of its divisors is an integer number (315634116204).

Almost surely, 2^{10643254415120} is an apocalyptic number.

10643254415120 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 10643254415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625364648160).

10643254415120 is an abundant number, since it is smaller than the sum of its proper divisors (14607474881200).

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

10643254415120 is a wasteful number, since it uses less digits than its factorization.

10643254415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809832 (or 3809826 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 10643254415120 its reverse (2151445234601), we get a palindrome (12794699649721).

The spelling of 10643254415120 in words is "ten trillion, six hundred forty-three billion, two hundred fifty-four million, four hundred fifteen thousand, one hundred twenty".