10949712480 has 360 divisors, whose sum is σ = 43604713152. Its totient is φ = 2502001152.

The previous prime is 10949712457. The next prime is 10949712503. The reversal of 10949712480 is 8421794901.

It is a happy number.

10949712480 is a `hidden beast` number, since 10 + 94 + 9 + 71 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (10949712457) and next prime (10949712503).

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 3455857 + ... + 3459023.

Almost surely, 2^10949712480 is an apocalyptic number.

10949712480 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 10949712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21802356576).

10949712480 is an abundant number, since it is smaller than the sum of its proper divisors (32655000672).

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

10949712480 is an equidigital number, since it uses as much as digits as its factorization.

10949712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10949712480 in words is "ten billion, nine hundred forty-nine million, seven hundred twelve thousand, four hundred eighty".