206425739520 has 3024 divisors, whose sum is σ = 1059710262912. Its totient is φ = 37265080320.

The previous prime is 206425739501. The next prime is 206425739543. The reversal of 206425739520 is 25937524602.

206425739520 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 257 + 395 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×206425739520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12142690552 + ... + 12142690568.

It is an arithmetic number, because the mean of its divisors is an integer number (350433288).

Almost surely, 2^206425739520 is an apocalyptic number.

206425739520 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 206425739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529855131456).

206425739520 is an abundant number, since it is smaller than the sum of its proper divisors (853284523392).

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

206425739520 is a wasteful number, since it uses less digits than its factorization.

206425739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 206425739520 in words is "two hundred six billion, four hundred twenty-five million, seven hundred thirty-nine thousand, five hundred twenty".