10005553140000 has 960 divisors, whose sum is σ = 37778457024000. Its totient is φ = 2292433920000.

The previous prime is 10005553139969. The next prime is 10005553140017. The reversal of 10005553140000 is 4135550001.

It is a super-2 number, since 2×10005553140000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7762259356 + ... + 7762260644.

It is an arithmetic number, because the mean of its divisors is an integer number (39352559400).

Almost surely, 2^{10005553140000} is an apocalyptic number.

10005553140000 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 10005553140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889228512000).

10005553140000 is an abundant number, since it is smaller than the sum of its proper divisors (27772903884000).

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

10005553140000 is a wasteful number, since it uses less digits than its factorization.

10005553140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 10005553140000 its reverse (4135550001), we get a palindrome (10009688690001).

The spelling of 10005553140000 in words is "ten trillion, five billion, five hundred fifty-three million, one hundred forty thousand".