1345358757600 has 1728 divisors, whose sum is σ = 5856021190656. Its totient is φ = 286156800000.

The previous prime is 1345358757563. The next prime is 1345358757607. The reversal of 1345358757600 is 67578535431.

1345358757600 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 3 + 587 + 57 + 6 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345358757607) 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, 1946973255 + ... + 1946973945.

It is an arithmetic number, because the mean of its divisors is an integer number (3388901152).

Almost surely, 2^{1345358757600} is an apocalyptic number.

1345358757600 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 1345358757600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928010595328).

1345358757600 is an abundant number, since it is smaller than the sum of its proper divisors (4510662433056).

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

1345358757600 is a wasteful number, since it uses less digits than its factorization.

1345358757600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 1345358757600 in words is "one trillion, three hundred forty-five billion, three hundred fifty-eight million, seven hundred fifty-seven thousand, six hundred".