10055151568 has 240 divisors, whose sum is σ = 26663436288. Its totient is φ = 3564288000.

The previous prime is 10055151539. The next prime is 10055151577. The reversal of 10055151568 is 86515155001.

It is a happy number.

It is a super-2 number, since 2×10055151568² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11037033 + ... + 11037943.

Almost surely, 2^10055151568 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 10055151568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331718144).

10055151568 is an abundant number, since it is smaller than the sum of its proper divisors (16608284720).

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

10055151568 is a wasteful number, since it uses less digits than its factorization.

10055151568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 37.

The spelling of 10055151568 in words is "ten billion, fifty-five million, one hundred fifty-one thousand, five hundred sixty-eight".