10055332144000 has 1024 divisors, whose sum is σ = 30257971511040. Its totient is φ = 3274752000000.

The previous prime is 10055332143973. The next prime is 10055332144027. The reversal of 10055332144000 is 44123355001.

It is an interprime number because it is at equal distance from previous prime (10055332143973) and next prime (10055332144027).

It is a super-2 number, since 2×10055332144000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10055332144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12247663590 + ... + 12247664410.

Almost surely, 2^{10055332144000} is an apocalyptic number.

10055332144000 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 10055332144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128985755520).

10055332144000 is an abundant number, since it is smaller than the sum of its proper divisors (20202639367040).

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

10055332144000 is a wasteful number, since it uses less digits than its factorization.

10055332144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 10055332144000 its reverse (44123355001), we get a palindrome (10099455499001).

The spelling of 10055332144000 in words is "ten trillion, fifty-five billion, three hundred thirty-two million, one hundred forty-four thousand".