2053316304000 has 2560 divisors, whose sum is σ = 8908064605440. Its totient is φ = 464220979200.

The previous prime is 2053316303977. The next prime is 2053316304023. The reversal of 2053316304000 is 4036133502.

It is a happy number.

2053316304000 is a `hidden beast` number, since 20 + 5 + 3 + 3 + 1 + 630 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2053316303977) and next prime (2053316304023).

It is a super-2 number, since 2×2053316304000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 319 ways as a sum of consecutive naturals, for example, 19189871947 + ... + 19189872053.

Almost surely, 2^{2053316304000} is an apocalyptic number.

2053316304000 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 2053316304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454032302720).

2053316304000 is an abundant number, since it is smaller than the sum of its proper divisors (6854748301440).

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

2053316304000 is a wasteful number, since it uses less digits than its factorization.

2053316304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 2053316304000 in words is "two trillion, fifty-three billion, three hundred sixteen million, three hundred four thousand".