10456411680 has 1152 divisors, whose sum is σ = 46363000320. Its totient is φ = 2105671680.

The previous prime is 10456411673. The next prime is 10456411727. The reversal of 10456411680 is 8611465401.

10456411680 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 641 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101518509 + ... + 101518611.

It is an arithmetic number, because the mean of its divisors is an integer number (40245660).

Almost surely, 2^10456411680 is an apocalyptic number.

10456411680 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 10456411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181500160).

10456411680 is an abundant number, since it is smaller than the sum of its proper divisors (35906588640).

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

10456411680 is a wasteful number, since it uses less digits than its factorization.

10456411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10456411680 in words is "ten billion, four hundred fifty-six million, four hundred eleven thousand, six hundred eighty".