12962626356960 has 720 divisors, whose sum is σ = 53239770760176. Its totient is φ = 2961574576128.

The previous prime is 12962626356941. The next prime is 12962626356961. The reversal of 12962626356960 is 6965362626921.

12962626356960 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 2 + 6 + 2 + 6 + 3 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12962626356961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2865933259 + ... + 2865937781.

Almost surely, 2^{12962626356960} is an apocalyptic number.

12962626356960 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 12962626356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619885380088).

12962626356960 is an abundant number, since it is smaller than the sum of its proper divisors (40277144403216).

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

12962626356960 is a wasteful number, since it uses less digits than its factorization.

12962626356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 12962626356960 in words is "twelve trillion, nine hundred sixty-two billion, six hundred twenty-six million, three hundred fifty-six thousand, nine hundred sixty".