10504225953792 has 768 divisors, whose sum is σ = 33474482496000. Its totient is φ = 3244769280000.

The previous prime is 10504225953761. The next prime is 10504225953803. The reversal of 10504225953792 is 29735952240501.

10504225953792 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 42 + 2 + 595 + 3 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×10504225953792² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16086103738 + ... + 16086104390.

It is an arithmetic number, because the mean of its divisors is an integer number (43586565750).

Almost surely, 2^{10504225953792} is an apocalyptic number.

10504225953792 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 10504225953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16737241248000).

10504225953792 is an abundant number, since it is smaller than the sum of its proper divisors (22970256542208).

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

10504225953792 is a wasteful number, since it uses less digits than its factorization.

10504225953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 10504225953792 in words is "ten trillion, five hundred four billion, two hundred twenty-five million, nine hundred fifty-three thousand, seven hundred ninety-two".