1295616000 has 384 divisors, whose sum is σ = 4947022080. Its totient is φ = 294912000.

The previous prime is 1295615999. The next prime is 1295616029. The reversal of 1295616000 is 6165921.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375880 + ... + 5376120.

It is an arithmetic number, because the mean of its divisors is an integer number (12882870).

Almost surely, 2^1295616000 is an apocalyptic number.

1295616000 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 1295616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473511040).

1295616000 is an abundant number, since it is smaller than the sum of its proper divisors (3651406080).

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

1295616000 is an equidigital number, since it uses as much as digits as its factorization.

1295616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1295616000 is about 35994.6662715464. Note that the first 3 decimals coincide. The cubic root of 1295616000 is about 1090.1646638420.

The spelling of 1295616000 in words is "one billion, two hundred ninety-five million, six hundred sixteen thousand".