206516255400 has 1920 divisors, whose sum is σ = 951301612800. Its totient is φ = 40310784000.

The previous prime is 206516255377. The next prime is 206516255401. The reversal of 206516255400 is 4552615602.

206516255400 is a `hidden beast` number, since 2 + 0 + 6 + 51 + 62 + 5 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (206516255401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2044715350 + ... + 2044715450.

It is an arithmetic number, because the mean of its divisors is an integer number (495469590).

Almost surely, 2^206516255400 is an apocalyptic number.

206516255400 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 206516255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475650806400).

206516255400 is an abundant number, since it is smaller than the sum of its proper divisors (744785357400).

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

206516255400 is a wasteful number, since it uses less digits than its factorization.

206516255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

It can be divided in two parts, 20651625 and 5400, that added together give a square (20657025 = 4545²).

The spelling of 206516255400 in words is "two hundred six billion, five hundred sixteen million, two hundred fifty-five thousand, four hundred".