258161722560 has 1344 divisors, whose sum is σ = 1163720742912. Its totient is φ = 53078851584.

The previous prime is 258161722523. The next prime is 258161722571. The reversal of 258161722560 is 65227161852.

258161722560 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 61 + 7 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212828514 + ... + 212829726.

It is an arithmetic number, because the mean of its divisors is an integer number (865863648).

Almost surely, 2^258161722560 is an apocalyptic number.

258161722560 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 258161722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581860371456).

258161722560 is an abundant number, since it is smaller than the sum of its proper divisors (905559020352).

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

258161722560 is a wasteful number, since it uses less digits than its factorization.

258161722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 258161722560 in words is "two hundred fifty-eight billion, one hundred sixty-one million, seven hundred twenty-two thousand, five hundred sixty".