10347164052480 has 220 divisors, whose sum is σ = 37078387230720. Its totient is φ = 2759243636736.

The previous prime is 10347164052469. The next prime is 10347164052487. The reversal of 10347164052480 is 8425046174301.

10347164052480 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 7 + 1 + 6 + 40 + 524 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10347164052487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12060160 + ... + 12889599.

It is an arithmetic number, because the mean of its divisors is an integer number (168538123776).

Almost surely, 2^{10347164052480} is an apocalyptic number.

10347164052480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10347164052480 is an abundant number, since it is smaller than the sum of its proper divisors (26731223178240).

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

10347164052480 is an equidigital number, since it uses as much as digits as its factorization.

10347164052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24949796 (or 24949769 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10347164052480 in words is "ten trillion, three hundred forty-seven billion, one hundred sixty-four million, fifty-two thousand, four hundred eighty".