10048769280 has 756 divisors, whose sum is σ = 40113121860. Its totient is φ = 2408693760.

The previous prime is 10048769261. The next prime is 10048769321. The reversal of 10048769280 is 8296784001.

10048769280 is a `hidden beast` number, since 1 + 0 + 0 + 487 + 6 + 92 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2732361984 + 7316407296 = 52272^2 + 85536^2 .

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 83 ways as a sum of consecutive naturals, for example, 112907476 + ... + 112907564.

It is an arithmetic number, because the mean of its divisors is an integer number (53059685).

Almost surely, 2^10048769280 is an apocalyptic number.

10048769280 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 10048769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20056560930).

10048769280 is an abundant number, since it is smaller than the sum of its proper divisors (30064352580).

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

10048769280 is an frugal number, since it uses more digits than its factorization.

10048769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10048769280 in words is "ten billion, forty-eight million, seven hundred sixty-nine thousand, two hundred eighty".