10480055616 has 224 divisors, whose sum is σ = 32275150080. Its totient is φ = 3328376832.

The previous prime is 10480055581. The next prime is 10480055659. The reversal of 10480055616 is 61655008401.

10480055616 = 213² + 214² + ... + 3156².

10480055616 is a `hidden beast` number, since 10 + 4 + 80 + 0 + 5 + 561 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18162720 + ... + 18163296.

Almost surely, 2^10480055616 is an apocalyptic number.

10480055616 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 10480055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137575040).

10480055616 is an abundant number, since it is smaller than the sum of its proper divisors (21795094464).

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

10480055616 is a wasteful number, since it uses less digits than its factorization.

10480055616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10480055616 in words is "ten billion, four hundred eighty million, fifty-five thousand, six hundred sixteen".