10550440152000 has 1344 divisors, whose sum is σ = 43942004161536. Its totient is φ = 2366541619200.

The previous prime is 10550440151989. The next prime is 10550440152059. The reversal of 10550440152000 is 25104405501.

10550440152000 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 440 + 15 + 200 + 0 = 666.

10550440152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10550440152000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13405895607 + ... + 13405896393.

Almost surely, 2^{10550440152000} is an apocalyptic number.

10550440152000 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 10550440152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21971002080768).

10550440152000 is an abundant number, since it is smaller than the sum of its proper divisors (33391564009536).

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

10550440152000 is a wasteful number, since it uses less digits than its factorization.

10550440152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 10550440152000 its reverse (25104405501), we get a palindrome (10575544557501).

The spelling of 10550440152000 in words is "ten trillion, five hundred fifty billion, four hundred forty million, one hundred fifty-two thousand".