10042831772520 has 64 divisors (see below), whose sum is σ = 31167408960000. Its totient is φ = 2585740593408.

The previous prime is 10042831772509. The next prime is 10042831772521. The reversal of 10042831772520 is 2527713824001.

It is a happy number.

It is a super-2 number, since 2×10042831772520² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10042831772521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1442932120 + ... + 1442939079.

It is an arithmetic number, because the mean of its divisors is an integer number (486990765000).

Almost surely, 2^{10042831772520} is an apocalyptic number.

10042831772520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042831772520 is an abundant number, since it is smaller than the sum of its proper divisors (21124577187480).

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

10042831772520 is a wasteful number, since it uses less digits than its factorization.

10042831772520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885871242 (or 2885871238 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 10042831772520 in words is "ten trillion, forty-two billion, eight hundred thirty-one million, seven hundred seventy-two thousand, five hundred twenty".