2135378448000 has 1728 divisors, whose sum is σ = 9181077052680. Its totient is φ = 474214809600.

The previous prime is 2135378447989. The next prime is 2135378448013. The reversal of 2135378448000 is 8448735312.

2135378448000 is a `hidden beast` number, since 2 + 135 + 3 + 78 + 448 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 713808696384 + 1421569751616 = 844872^2 + 1192296^2 .

It is a super-2 number, since 2×2135378448000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15586703932 + ... + 15586704068.

Almost surely, 2^{2135378448000} is an apocalyptic number.

2135378448000 is a gapful number since it is divisible by the number (20) 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 2135378448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590538526340).

2135378448000 is an abundant number, since it is smaller than the sum of its proper divisors (7045698604680).

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

2135378448000 is a wasteful number, since it uses less digits than its factorization.

2135378448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2135378448000 in words is "two trillion, one hundred thirty-five billion, three hundred seventy-eight million, four hundred forty-eight thousand".