10824468480 has 1152 divisors, whose sum is σ = 48400934400. Its totient is φ = 2279079936.

The previous prime is 10824468469. The next prime is 10824468517. The reversal of 10824468480 is 8486442801.

10824468480 is a `hidden beast` number, since 108 + 2 + 4 + 4 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230307817 + ... + 230307863.

It is an arithmetic number, because the mean of its divisors is an integer number (42014700).

Almost surely, 2^10824468480 is an apocalyptic number.

10824468480 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 10824468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24200467200).

10824468480 is an abundant number, since it is smaller than the sum of its proper divisors (37576465920).

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

10824468480 is a wasteful number, since it uses less digits than its factorization.

10824468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 10824468480 in words is "ten billion, eight hundred twenty-four million, four hundred sixty-eight thousand, four hundred eighty".