204154505164560 has 160 divisors (see below), whose sum is σ = 634229739555840. Its totient is φ = 54325095081984.

The previous prime is 204154505164529. The next prime is 204154505164591. The reversal of 204154505164560 is 65461505451402.

It is a happy number.

204154505164560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204154505164529) and next prime (204154505164591).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293451201 + ... + 294146079.

It is an arithmetic number, because the mean of its divisors is an integer number (3963935872224).

Almost surely, 2^{204154505164560} is an apocalyptic number.

204154505164560 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 204154505164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317114869777920).

204154505164560 is an abundant number, since it is smaller than the sum of its proper divisors (430075234391280).

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

204154505164560 is a wasteful number, since it uses less digits than its factorization.

204154505164560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697505 (or 697499 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 204154505164560 in words is "two hundred four trillion, one hundred fifty-four billion, five hundred five million, one hundred sixty-four thousand, five hundred sixty".