10504138459920 has 160 divisors (see below), whose sum is σ = 37255162183680. Its totient is φ = 2398333017600.

The previous prime is 10504138459907. The next prime is 10504138459921. The reversal of 10504138459920 is 2995483140501.

It is a super-2 number, since 2×10504138459920² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10504138459921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1857856 + ... + 4945695.

It is an arithmetic number, because the mean of its divisors is an integer number (232844763648).

Almost surely, 2^{10504138459920} is an apocalyptic number.

10504138459920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10504138459920 is an abundant number, since it is smaller than the sum of its proper divisors (26751023723760).

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

10504138459920 is a wasteful number, since it uses less digits than its factorization.

10504138459920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804493 (or 6804487 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 10504138459920 in words is "ten trillion, five hundred four billion, one hundred thirty-eight million, four hundred fifty-nine thousand, nine hundred twenty".