260229469046400 has 1344 divisors, whose sum is σ = 1102114563724800. Its totient is φ = 59449000550400.

The previous prime is 260229469046389. The next prime is 260229469046419. The reversal of 260229469046400 is 4640964922062.

260229469046400 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 2 + 94 + 6 + 90 + 464 + 0 + 0 = 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 44400179470 + ... + 44400185330.

Almost surely, 2^{260229469046400} is an apocalyptic number.

260229469046400 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 260229469046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551057281862400).

260229469046400 is an abundant number, since it is smaller than the sum of its proper divisors (841885094678400).

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

260229469046400 is an equidigital number, since it uses as much as digits as its factorization.

260229469046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8629 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 260229469046400 in words is "two hundred sixty trillion, two hundred twenty-nine billion, four hundred sixty-nine million, forty-six thousand, four hundred".