1356295264800 has 864 divisors, whose sum is σ = 5470006147200. Its totient is φ = 291723264000.

The previous prime is 1356295264781. The next prime is 1356295264813. The reversal of 1356295264800 is 84625926531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237901950 + ... + 237907650.

Almost surely, 2^{1356295264800} is an apocalyptic number.

1356295264800 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 1356295264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735003073600).

1356295264800 is an abundant number, since it is smaller than the sum of its proper divisors (4113710882400).

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

1356295264800 is a wasteful number, since it uses less digits than its factorization.

1356295264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 1356295264800 in words is "one trillion, three hundred fifty-six billion, two hundred ninety-five million, two hundred sixty-four thousand, eight hundred".