206138570880 has 512 divisors, whose sum is σ = 763964006400. Its totient is φ = 46778040320.

The previous prime is 206138570801. The next prime is 206138570881. The reversal of 206138570880 is 88075831602.

It is a super-2 number, since 2×206138570880² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (206138570881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22826206 + ... + 22835234.

It is an arithmetic number, because the mean of its divisors is an integer number (1492117200).

Almost surely, 2^206138570880 is an apocalyptic number.

206138570880 is a gapful number since it is divisible by the number (20) 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 206138570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381982003200).

206138570880 is an abundant number, since it is smaller than the sum of its proper divisors (557825435520).

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

206138570880 is a wasteful number, since it uses less digits than its factorization.

206138570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 206138570880 in words is "two hundred six billion, one hundred thirty-eight million, five hundred seventy thousand, eight hundred eighty".