10620697351680 has 960 divisors, whose sum is σ = 42654080589120. Its totient is φ = 2418769133568.

The previous prime is 10620697351673. The next prime is 10620697351753. The reversal of 10620697351680 is 8615379602601.

10620697351680 is a `hidden beast` number, since 1 + 0 + 6 + 206 + 9 + 7 + 351 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10620697351680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300400884 + ... + 300436236.

It is an arithmetic number, because the mean of its divisors is an integer number (44431333947).

Almost surely, 2^{10620697351680} is an apocalyptic number.

10620697351680 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 10620697351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21327040294560).

10620697351680 is an abundant number, since it is smaller than the sum of its proper divisors (32033383237440).

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

10620697351680 is a wasteful number, since it uses less digits than its factorization.

10620697351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35471 (or 35452 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10620697351680 in words is "ten trillion, six hundred twenty billion, six hundred ninety-seven million, three hundred fifty-one thousand, six hundred eighty".