10930719456 has 144 divisors (see below), whose sum is σ = 34143258240. Its totient is φ = 3301689600.

The previous prime is 10930719427. The next prime is 10930719467. The reversal of 10930719456 is 65491703901.

10930719456 is a `hidden beast` number, since 109 + 307 + 194 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82431 + ... + 169281.

It is an arithmetic number, because the mean of its divisors is an integer number (237105960).

Almost surely, 2^10930719456 is an apocalyptic number.

10930719456 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 10930719456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071629120).

10930719456 is an abundant number, since it is smaller than the sum of its proper divisors (23212538784).

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

10930719456 is a wasteful number, since it uses less digits than its factorization.

10930719456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86909 (or 86898 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10930719456 in words is "ten billion, nine hundred thirty million, seven hundred nineteen thousand, four hundred fifty-six".