10206914560 has 192 divisors, whose sum is σ = 25261891200. Its totient is φ = 3956736000.

The previous prime is 10206914527. The next prime is 10206914561. The reversal of 10206914560 is 6541960201.

It is a super-2 number, since 2×10206914560² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10206914561) 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, 73430971 + ... + 73431109.

It is an arithmetic number, because the mean of its divisors is an integer number (131572350).

Almost surely, 2^10206914560 is an apocalyptic number.

10206914560 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 10206914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630945600).

10206914560 is an abundant number, since it is smaller than the sum of its proper divisors (15054976640).

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

10206914560 is a wasteful number, since it uses less digits than its factorization.

10206914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 10206914560 in words is "ten billion, two hundred six million, nine hundred fourteen thousand, five hundred sixty".