2153263536000 has 192 divisors, whose sum is σ = 7732908190800. Its totient is φ = 574203571200.

The previous prime is 2153263535987. The next prime is 2153263536007. The reversal of 2153263536000 is 6353623512.

2153263536000 is a `hidden beast` number, since 2 + 1 + 532 + 63 + 5 + 3 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153263536007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7332610 + ... + 7620609.

Almost surely, 2^{2153263536000} is an apocalyptic number.

2153263536000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153263536000 is an abundant number, since it is smaller than the sum of its proper divisors (5579644654800).

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

2153263536000 is a wasteful number, since it uses less digits than its factorization.

2153263536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14953254 (or 14953229 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 2153263536000 in words is "two trillion, one hundred fifty-three billion, two hundred sixty-three million, five hundred thirty-six thousand".