10492854480 has 320 divisors, whose sum is σ = 37397606400. Its totient is φ = 2702315520.

The previous prime is 10492854401. The next prime is 10492854503. The reversal of 10492854480 is 8445829401.

10492854480 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 28 + 544 + 80 = 666.

It is a super-2 number, since 2×10492854480² (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 a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9652497 + ... + 9653583.

It is an arithmetic number, because the mean of its divisors is an integer number (116867520).

Almost surely, 2^10492854480 is an apocalyptic number.

10492854480 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 10492854480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698803200).

10492854480 is an abundant number, since it is smaller than the sum of its proper divisors (26904751920).

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

10492854480 is a wasteful number, since it uses less digits than its factorization.

10492854480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10492854480 in words is "ten billion, four hundred ninety-two million, eight hundred fifty-four thousand, four hundred eighty".