295948961280 has 1920 divisors, whose sum is σ = 1322665344000. Its totient is φ = 63207309312.

The previous prime is 295948961263. The next prime is 295948961291. The reversal of 295948961280 is 82169849592.

295948961280 is a `hidden beast` number, since 2 + 9 + 5 + 9 + 4 + 8 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 4054095324 + ... + 4054095396.

It is an arithmetic number, because the mean of its divisors is an integer number (688888200).

Almost surely, 2^295948961280 is an apocalyptic number.

295948961280 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 295948961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661332672000).

295948961280 is an abundant number, since it is smaller than the sum of its proper divisors (1026716382720).

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

295948961280 is an frugal number, since it uses more digits than its factorization.

295948961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 295948961280 in words is "two hundred ninety-five billion, nine hundred forty-eight million, nine hundred sixty-one thousand, two hundred eighty".