10875653601120 has 2304 divisors, whose sum is σ = 48915248578560. Its totient is φ = 2152770048000.

The previous prime is 10875653601079. The next prime is 10875653601133. The reversal of 10875653601120 is 2110635657801.

10875653601120 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 565 + 3 + 60 + 1 + 1 + 20 = 666.

10875653601120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32856959355 + ... + 32856959685.

It is an arithmetic number, because the mean of its divisors is an integer number (21230576640).

Almost surely, 2^{10875653601120} is an apocalyptic number.

10875653601120 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 10875653601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457624289280).

10875653601120 is an abundant number, since it is smaller than the sum of its proper divisors (38039594977440).

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

10875653601120 is a wasteful number, since it uses less digits than its factorization.

10875653601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10875653601120 in words is "ten trillion, eight hundred seventy-five billion, six hundred fifty-three million, six hundred one thousand, one hundred twenty".