10448571651210 has 256 divisors, whose sum is σ = 34741320007680. Its totient is φ = 2170931051520.

The previous prime is 10448571651197. The next prime is 10448571651227. The reversal of 10448571651210 is 1215617584401.

It is a happy number.

10448571651210 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 8 + 571 + 6 + 51 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356263567 + ... + 356292893.

It is an arithmetic number, because the mean of its divisors is an integer number (135708281280).

Almost surely, 2^{10448571651210} is an apocalyptic number.

10448571651210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10448571651210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370660003840).

10448571651210 is an abundant number, since it is smaller than the sum of its proper divisors (24292748356470).

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

10448571651210 is a wasteful number, since it uses less digits than its factorization.

10448571651210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46498 (or 46492 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10448571651210 in words is "ten trillion, four hundred forty-eight billion, five hundred seventy-one million, six hundred fifty-one thousand, two hundred ten".