10043942271552 has 504 divisors, whose sum is σ = 35787073358400. Its totient is φ = 2630943037440.

The previous prime is 10043942271491. The next prime is 10043942271619. The reversal of 10043942271552 is 25517224934001.

10043942271552 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 9 + 4 + 22 + 71 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 10043942271498 and 10043942271507.

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 71 ways as a sum of consecutive naturals, for example, 73552074 + ... + 73688502.

Almost surely, 2^{10043942271552} is an apocalyptic number.

10043942271552 is a gapful number since it is divisible by the number (12) 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 10043942271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893536679200).

10043942271552 is an abundant number, since it is smaller than the sum of its proper divisors (25743131086848).

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

10043942271552 is a wasteful number, since it uses less digits than its factorization.

10043942271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136535 (or 136491 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10043942271552 in words is "ten trillion, forty-three billion, nine hundred forty-two million, two hundred seventy-one thousand, five hundred fifty-two".