10254645504 has 216 divisors, whose sum is σ = 30620509920. Its totient is φ = 3298369536.

The previous prime is 10254645503. The next prime is 10254645551. The reversal of 10254645504 is 40554645201.

10254645504 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 645 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10254645503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8816827 + ... + 8817989.

It is an arithmetic number, because the mean of its divisors is an integer number (141761620).

Almost surely, 2^10254645504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10254645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310254960).

10254645504 is an abundant number, since it is smaller than the sum of its proper divisors (20365864416).

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

10254645504 is a wasteful number, since it uses less digits than its factorization.

10254645504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 10254645504 in words is "ten billion, two hundred fifty-four million, six hundred forty-five thousand, five hundred four".