205615413540 has 72 divisors (see below), whose sum is σ = 632484635328. Its totient is φ = 54058509120.

The previous prime is 205615413539. The next prime is 205615413557. The reversal of 205615413540 is 45314516502.

205615413540 is a `hidden beast` number, since 2 + 0 + 5 + 61 + 54 + 1 + 3 + 540 = 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 = 205615413495 and 205615413504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8031642 + ... + 8057201.

It is an arithmetic number, because the mean of its divisors is an integer number (8784508824).

Almost surely, 2^205615413540 is an apocalyptic number.

205615413540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205615413540 is an abundant number, since it is smaller than the sum of its proper divisors (426869221788).

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

205615413540 is a wasteful number, since it uses less digits than its factorization.

205615413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16088929 (or 16088924 counting only the distinct ones).

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

The spelling of 205615413540 in words is "two hundred five billion, six hundred fifteen million, four hundred thirteen thousand, five hundred forty".