10249781472 has 240 divisors, whose sum is σ = 35563917312. Its totient is φ = 2833885440.

The previous prime is 10249781467. The next prime is 10249781483. The reversal of 10249781472 is 27418794201.

10249781472 is a `hidden beast` number, since 10 + 2 + 4 + 97 + 81 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 553353 + ... + 571575.

Almost surely, 2^10249781472 is an apocalyptic number.

10249781472 is a gapful number since it is divisible by the number (12) 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 10249781472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781958656).

10249781472 is an abundant number, since it is smaller than the sum of its proper divisors (25314135840).

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

10249781472 is a wasteful number, since it uses less digits than its factorization.

10249781472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18283 (or 18266 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10249781472 in words is "ten billion, two hundred forty-nine million, seven hundred eighty-one thousand, four hundred seventy-two".