1349990787600 has 2880 divisors, whose sum is σ = 6476432704000. Its totient is φ = 265314631680.

The previous prime is 1349990787599. The next prime is 1349990787643. The reversal of 1349990787600 is 67870999431.

1349990787600 is a `hidden beast` number, since 1 + 3 + 499 + 9 + 0 + 7 + 87 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 13917430752 + ... + 13917430848.

Almost surely, 2^{1349990787600} is an apocalyptic number.

1349990787600 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 1349990787600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238216352000).

1349990787600 is an abundant number, since it is smaller than the sum of its proper divisors (5126441916400).

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

1349990787600 is a wasteful number, since it uses less digits than its factorization.

1349990787600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 1349990787600 in words is "one trillion, three hundred forty-nine billion, nine hundred ninety million, seven hundred eighty-seven thousand, six hundred".