2153666430000 has 900 divisors, whose sum is σ = 7879039575264. Its totient is φ = 548688000000.

The previous prime is 2153666429977. The next prime is 2153666430011. The reversal of 2153666430000 is 346663512.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×2153666430000³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 21323429950 + ... + 21323430050.

Almost surely, 2^{2153666430000} is an apocalyptic number.

2153666430000 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 2153666430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939519787632).

2153666430000 is an abundant number, since it is smaller than the sum of its proper divisors (5725373145264).

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

2153666430000 is a wasteful number, since it uses less digits than its factorization.

2153666430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2153666430000 in words is "two trillion, one hundred fifty-three billion, six hundred sixty-six million, four hundred thirty thousand".