10051518518208 has 672 divisors, whose sum is σ = 31231505776640. Its totient is φ = 3081356328960.

The previous prime is 10051518518191. The next prime is 10051518518221. The reversal of 10051518518208 is 80281581515001.

10051518518208 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 518 + 51 + 82 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15929506053 + ... + 15929506683.

Almost surely, 2^{10051518518208} is an apocalyptic number.

10051518518208 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 10051518518208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615752888320).

10051518518208 is an abundant number, since it is smaller than the sum of its proper divisors (21179987258432).

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

10051518518208 is a wasteful number, since it uses less digits than its factorization.

10051518518208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 45.

The spelling of 10051518518208 in words is "ten trillion, fifty-one billion, five hundred eighteen million, five hundred eighteen thousand, two hundred eight".