10434648655620 has 216 divisors, whose sum is σ = 37004431464000. Its totient is φ = 2373076911744.

The previous prime is 10434648655597. The next prime is 10434648655643. The reversal of 10434648655620 is 2655684643401.

10434648655620 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 6 + 4 + 8 + 6 + 5 + 5 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (10434648655597) and next prime (10434648655643).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1217350 + ... + 4727709.

Almost surely, 2^{10434648655620} is an apocalyptic number.

10434648655620 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 10434648655620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502215732000).

10434648655620 is an abundant number, since it is smaller than the sum of its proper divisors (26569782808380).

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

10434648655620 is a wasteful number, since it uses less digits than its factorization.

10434648655620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945287 (or 5945275 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 10434648655620 in words is "ten trillion, four hundred thirty-four billion, six hundred forty-eight million, six hundred fifty-five thousand, six hundred twenty".