10296771416960 has 128 divisors (see below), whose sum is σ = 28609069017600. Its totient is φ = 3470485579776.

The previous prime is 10296771416881. The next prime is 10296771416969. The reversal of 10296771416960 is 6961417769201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10296771416960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 10296771416960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10296771416969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19213532 + ... + 19742171.

It is an arithmetic number, because the mean of its divisors is an integer number (223508351700).

Almost surely, 2^{10296771416960} is an apocalyptic number.

10296771416960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10296771416960 is an abundant number, since it is smaller than the sum of its proper divisors (18312297600640).

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

10296771416960 is an equidigital number, since it uses as much as digits as its factorization.

10296771416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38955788 (or 38955776 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 59.

The spelling of 10296771416960 in words is "ten trillion, two hundred ninety-six billion, seven hundred seventy-one million, four hundred sixteen thousand, nine hundred sixty".