206071290540 has 192 divisors, whose sum is σ = 682620825600. Its totient is φ = 51430505472.

The previous prime is 206071290479. The next prime is 206071290563. The reversal of 206071290540 is 45092170602.

206071290540 is a `hidden beast` number, since 2 + 0 + 607 + 1 + 2 + 9 + 0 + 5 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 206071290495 and 206071290504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1580517 + ... + 1705923.

It is an arithmetic number, because the mean of its divisors is an integer number (3555316800).

Almost surely, 2^206071290540 is an apocalyptic number.

206071290540 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 206071290540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341310412800).

206071290540 is an abundant number, since it is smaller than the sum of its proper divisors (476549535060).

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

206071290540 is a wasteful number, since it uses less digits than its factorization.

206071290540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125621 (or 125613 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 206071290540 in words is "two hundred six billion, seventy-one million, two hundred ninety thousand, five hundred forty".