1213958753280 has 2112 divisors, whose sum is σ = 5551901042688. Its totient is φ = 238241710080.

The previous prime is 1213958753269. The next prime is 1213958753317. The reversal of 1213958753280 is 823578593121.

1213958753280 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 9 + 587 + 53 + 2 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3954262887 + ... + 3954263193.

It is an arithmetic number, because the mean of its divisors is an integer number (2628741024).

Almost surely, 2^{1213958753280} is an apocalyptic number.

1213958753280 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 1213958753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775950521344).

1213958753280 is an abundant number, since it is smaller than the sum of its proper divisors (4337942289408).

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

1213958753280 is a wasteful number, since it uses less digits than its factorization.

1213958753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1213958753280 in words is "one trillion, two hundred thirteen billion, nine hundred fifty-eight million, seven hundred fifty-three thousand, two hundred eighty".