10013201856 has 672 divisors, whose sum is σ = 36923228160. Its totient is φ = 2626919424.

The previous prime is 10013201851. The next prime is 10013201857. The reversal of 10013201856 is 65810231001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10013201856² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013201851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97215501 + ... + 97215603.

It is an arithmetic number, because the mean of its divisors is an integer number (54945280).

Almost surely, 2^10013201856 is an apocalyptic number.

10013201856 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 10013201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461614080).

10013201856 is an abundant number, since it is smaller than the sum of its proper divisors (26910026304).

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

10013201856 is a wasteful number, since it uses less digits than its factorization.

10013201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10013201856 its reverse (65810231001), we get a palindrome (75823432857).

The spelling of 10013201856 in words is "ten billion, thirteen million, two hundred one thousand, eight hundred fifty-six".