10055050632000 has 1512 divisors, whose sum is σ = 40886226363528. Its totient is φ = 2356992000000.

The previous prime is 10055050631999. The next prime is 10055050632001. The reversal of 10055050632000 is 23605055001.

10055050632000 is a `hidden beast` number, since 1 + 0 + 0 + 550 + 50 + 63 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10055050631999) and next prime (10055050632001).

It can be written as a sum of positive squares in 4 ways, for example, as 3067317893376 + 6987732738624 = 1751376^2 + 2643432^2 .

It is a super-2 number, since 2×10055050632000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055050632001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8372231400 + ... + 8372232600.

Almost surely, 2^{10055050632000} is an apocalyptic number.

10055050632000 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 10055050632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20443113181764).

10055050632000 is an abundant number, since it is smaller than the sum of its proper divisors (30831175731528).

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

10055050632000 is a wasteful number, since it uses less digits than its factorization.

10055050632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 10055050632000 its reverse (23605055001), we get a palindrome (10078655687001).

The spelling of 10055050632000 in words is "ten trillion, fifty-five billion, fifty million, six hundred thirty-two thousand".