10949253480 has 384 divisors, whose sum is σ = 40152153600. Its totient is φ = 2564812800.

The previous prime is 10949253479. The next prime is 10949253493. The reversal of 10949253480 is 8435294901.

10949253480 is a `hidden beast` number, since 109 + 4 + 9 + 2 + 534 + 8 + 0 = 666.

It is a super-2 number, since 2×10949253480² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16564350 + ... + 16565010.

It is an arithmetic number, because the mean of its divisors is an integer number (104562900).

Almost surely, 2^10949253480 is an apocalyptic number.

10949253480 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 10949253480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076076800).

10949253480 is an abundant number, since it is smaller than the sum of its proper divisors (29202900120).

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

10949253480 is a wasteful number, since it uses less digits than its factorization.

10949253480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10949253480 in words is "ten billion, nine hundred forty-nine million, two hundred fifty-three thousand, four hundred eighty".