10488582720 has 336 divisors, whose sum is σ = 44979262848. Its totient is φ = 2179399680.

The previous prime is 10488582641. The next prime is 10488582781. The reversal of 10488582720 is 2728588401.

It is a happy number.

10488582720 is a `hidden beast` number, since 1 + 0 + 48 + 8 + 582 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10488582720² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198112 + ... + 245408.

Almost surely, 2^10488582720 is an apocalyptic number.

10488582720 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 10488582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22489631424).

10488582720 is an abundant number, since it is smaller than the sum of its proper divisors (34490680128).

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

10488582720 is a wasteful number, since it uses less digits than its factorization.

10488582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47338 (or 47325 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 10488582720 in words is "ten billion, four hundred eighty-eight million, five hundred eighty-two thousand, seven hundred twenty".