1299853093968 has 640 divisors, whose sum is σ = 4649642403840. Its totient is φ = 341584404480.

The previous prime is 1299853093963. The next prime is 1299853094021. The reversal of 1299853093968 is 8693903589921.

It is a happy number.

1299853093968 is a `hidden beast` number, since 1 + 29 + 9 + 8 + 530 + 9 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1299853093896 and 1299853093905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299853093963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 994531171 + ... + 994532477.

It is an arithmetic number, because the mean of its divisors is an integer number (7265066256).

Almost surely, 2^{1299853093968} is an apocalyptic number.

1299853093968 is a gapful number since it is divisible by the number (18) 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 1299853093968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324821201920).

1299853093968 is an abundant number, since it is smaller than the sum of its proper divisors (3349789309872).

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

1299853093968 is a wasteful number, since it uses less digits than its factorization.

1299853093968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 1299853093968 in words is "one trillion, two hundred ninety-nine billion, eight hundred fifty-three million, ninety-three thousand, nine hundred sixty-eight".