1295898739200 has 2880 divisors, whose sum is σ = 5846070827520. Its totient is φ = 278373335040.

The previous prime is 1295898739193. The next prime is 1295898739207. The reversal of 1295898739200 is 29378985921.

1295898739200 is a `hidden beast` number, since 1 + 2 + 95 + 89 + 87 + 392 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1295898739193) and next prime (1295898739207).

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (1295898739207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27572313577 + ... + 27572313623.

It is an arithmetic number, because the mean of its divisors is an integer number (2029885704).

Almost surely, 2^{1295898739200} is an apocalyptic number.

1295898739200 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 1295898739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923035413760).

1295898739200 is an abundant number, since it is smaller than the sum of its proper divisors (4550172088320).

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

1295898739200 is a wasteful number, since it uses less digits than its factorization.

1295898739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 1295898739200 in words is "one trillion, two hundred ninety-five billion, eight hundred ninety-eight million, seven hundred thirty-nine thousand, two hundred".