10145023162560 has 672 divisors, whose sum is σ = 41021562254400. Its totient is φ = 2268750643200.

The previous prime is 10145023162559. The next prime is 10145023162577. The reversal of 10145023162560 is 6526132054101.

10145023162560 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 2 + 31 + 62 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717006366 + ... + 717020514.

It is an arithmetic number, because the mean of its divisors is an integer number (61043991450).

Almost surely, 2^{10145023162560} is an apocalyptic number.

10145023162560 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 10145023162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510781127200).

10145023162560 is an abundant number, since it is smaller than the sum of its proper divisors (30876539091840).

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

10145023162560 is a wasteful number, since it uses less digits than its factorization.

10145023162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15937 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10145023162560 in words is "ten trillion, one hundred forty-five billion, twenty-three million, one hundred sixty-two thousand, five hundred sixty".