1295287459200 has 1920 divisors, whose sum is σ = 5729847552000. Its totient is φ = 281896796160.

The previous prime is 1295287459177. The next prime is 1295287459241. The reversal of 1295287459200 is 29547825921.

1295287459200 is a `hidden beast` number, since 1 + 2 + 95 + 2 + 87 + 459 + 20 + 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5419612681 + ... + 5419612919.

It is an arithmetic number, because the mean of its divisors is an integer number (2984295600).

Almost surely, 2^{1295287459200} is an apocalyptic number.

1295287459200 is a gapful number since it is divisible by the number (10) 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 1295287459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864923776000).

1295287459200 is an abundant number, since it is smaller than the sum of its proper divisors (4434560092800).

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

1295287459200 is a wasteful number, since it uses less digits than its factorization.

1295287459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1295287459200 in words is "one trillion, two hundred ninety-five billion, two hundred eighty-seven million, four hundred fifty-nine thousand, two hundred".