10055112541056 has 192 divisors, whose sum is σ = 31567599123840. Its totient is φ = 3046758220800.

The previous prime is 10055112541037. The next prime is 10055112541183. The reversal of 10055112541056 is 65014521155001.

10055112541056 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 51 + 12 + 541 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10055112541056² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10055112541056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213410941 + ... + 213458051.

It is an arithmetic number, because the mean of its divisors is an integer number (164414578770).

Almost surely, 2^{10055112541056} is an apocalyptic number.

10055112541056 is a gapful number since it is divisible by the number (16) 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 10055112541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783799561920).

10055112541056 is an abundant number, since it is smaller than the sum of its proper divisors (21512486582784).

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

10055112541056 is a wasteful number, since it uses less digits than its factorization.

10055112541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63985 (or 63970 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 10055112541056 its reverse (65014521155001), we get a palindrome (75069633696057).

The spelling of 10055112541056 in words is "ten trillion, fifty-five billion, one hundred twelve million, five hundred forty-one thousand, fifty-six".