10427153715120 has 160 divisors (see below), whose sum is σ = 33373303971840. Its totient is φ = 2691394836480.

The previous prime is 10427153715007. The next prime is 10427153715127. The reversal of 10427153715120 is 2151735172401.

It is a super-2 number, since 2×10427153715120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10427153715127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2922250 + ... + 5421609.

It is an arithmetic number, because the mean of its divisors is an integer number (208583149824).

Almost surely, 2^{10427153715120} is an apocalyptic number.

10427153715120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10427153715120 is an abundant number, since it is smaller than the sum of its proper divisors (22946150256720).

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

10427153715120 is a wasteful number, since it uses less digits than its factorization.

10427153715120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344043 (or 8344037 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

Adding to 10427153715120 its reverse (2151735172401), we get a palindrome (12578888887521).

The spelling of 10427153715120 in words is "ten trillion, four hundred twenty-seven billion, one hundred fifty-three million, seven hundred fifteen thousand, one hundred twenty".