10254919248 has 320 divisors, whose sum is σ = 37497600000. Its totient is φ = 2612238336.

The previous prime is 10254919211. The next prime is 10254919289. The reversal of 10254919248 is 84291945201.

It is a happy number.

10254919248 is a `hidden beast` number, since 10 + 2 + 549 + 1 + 92 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971503 + ... + 982001.

It is an arithmetic number, because the mean of its divisors is an integer number (117180000).

Almost surely, 2^10254919248 is an apocalyptic number.

10254919248 is a gapful number since it is divisible by the number (18) 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 10254919248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800000).

10254919248 is an abundant number, since it is smaller than the sum of its proper divisors (27242680752).

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

10254919248 is a wasteful number, since it uses less digits than its factorization.

10254919248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10559 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10254919248 in words is "ten billion, two hundred fifty-four million, nine hundred nineteen thousand, two hundred forty-eight".