10514004314160 has 40 divisors (see below), whose sum is σ = 32593413374640. Its totient is φ = 2803734483712.

The previous prime is 10514004314137. The next prime is 10514004314189. The reversal of 10514004314160 is 6141340041501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10514004314160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21904175415 + ... + 21904175894.

It is an arithmetic number, because the mean of its divisors is an integer number (814835334366).

Almost surely, 2^{10514004314160} is an apocalyptic number.

10514004314160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10514004314160 is an abundant number, since it is smaller than the sum of its proper divisors (22079409060480).

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

10514004314160 is a wasteful number, since it uses less digits than its factorization.

10514004314160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43808351325 (or 43808351319 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10514004314160 its reverse (6141340041501), we get a palindrome (16655344355661).

The spelling of 10514004314160 in words is "ten trillion, five hundred fourteen billion, four million, three hundred fourteen thousand, one hundred sixty".