10051016601556 has 192 divisors, whose sum is σ = 21276031795200. Its totient is φ = 4064142652416.

The previous prime is 10051016601553. The next prime is 10051016601599. The reversal of 10051016601556 is 65510661015001.

It is a super-3 number, since 3×10051016601556³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10051016601553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4816010745 + ... + 4816012831.

It is an arithmetic number, because the mean of its divisors is an integer number (110812665600).

Almost surely, 2^{10051016601556} 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 10051016601556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638015897600).

10051016601556 is an abundant number, since it is smaller than the sum of its proper divisors (11225015193644).

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

10051016601556 is a wasteful number, since it uses less digits than its factorization.

10051016601556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

Adding to 10051016601556 its reverse (65510661015001), we get a palindrome (75561677616557).

The spelling of 10051016601556 in words is "ten trillion, fifty-one billion, sixteen million, six hundred one thousand, five hundred fifty-six".