10713053675520 has 1680 divisors, whose sum is σ = 45040102665600. Its totient is φ = 2444015960064.

The previous prime is 10713053675509. The next prime is 10713053675531. The reversal of 10713053675520 is 2557635031701.

10713053675520 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 3 + 0 + 53 + 6 + 75 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (10713053675509) and next prime (10713053675531).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10713053675520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20483849979 + ... + 20483850501.

It is an arithmetic number, because the mean of its divisors is an integer number (26809584920).

Almost surely, 2^{10713053675520} is an apocalyptic number.

10713053675520 is a gapful number since it is divisible by the number (10) 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 10713053675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22520051332800).

10713053675520 is an abundant number, since it is smaller than the sum of its proper divisors (34327048990080).

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

10713053675520 is an frugal number, since it uses more digits than its factorization.

10713053675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 10713053675520 in words is "ten trillion, seven hundred thirteen billion, fifty-three million, six hundred seventy-five thousand, five hundred twenty".