10210656494016 has 336 divisors, whose sum is σ = 33421800462336. Its totient is φ = 2952149760000.

The previous prime is 10210656494009. The next prime is 10210656494021. The reversal of 10210656494016 is 61049465601201.

10210656494016 is a `hidden beast` number, since 1 + 0 + 2 + 106 + 56 + 494 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×10210656494016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13579446 + ... + 14311626.

Almost surely, 2^{10210656494016} is an apocalyptic number.

10210656494016 is a gapful number since it is divisible by the number (16) 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 10210656494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16710900231168).

10210656494016 is an abundant number, since it is smaller than the sum of its proper divisors (23211143968320).

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

10210656494016 is a wasteful number, since it uses less digits than its factorization.

10210656494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732312 (or 732299 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10210656494016 in words is "ten trillion, two hundred ten billion, six hundred fifty-six million, four hundred ninety-four thousand, sixteen".