10504077696 has 192 divisors, whose sum is σ = 35659852800. Its totient is φ = 2904284160.

The previous prime is 10504077641. The next prime is 10504077707. The reversal of 10504077696 is 69677040501.

It is a happy number.

10504077696 is a `hidden beast` number, since 10 + 504 + 0 + 77 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10504077696² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228975 + ... + 270993.

It is an arithmetic number, because the mean of its divisors is an integer number (185728400).

Almost surely, 2^10504077696 is an apocalyptic number.

10504077696 is a gapful number since it is divisible by the number (16) 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 10504077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829926400).

10504077696 is an abundant number, since it is smaller than the sum of its proper divisors (25155775104).

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

10504077696 is a wasteful number, since it uses less digits than its factorization.

10504077696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42077 (or 42062 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10504077696 in words is "ten billion, five hundred four million, seventy-seven thousand, six hundred ninety-six".