2153403509712 has 160 divisors (see below), whose sum is σ = 6847543895808. Its totient is φ = 567862161408.

The previous prime is 2153403509711. The next prime is 2153403509749. The reversal of 2153403509712 is 2179053043512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153403509711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43537348 + ... + 43586780.

Almost surely, 2^{2153403509712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153403509712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423771947904).

2153403509712 is an abundant number, since it is smaller than the sum of its proper divisors (4694140386096).

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

2153403509712 is a wasteful number, since it uses less digits than its factorization.

2153403509712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59437 (or 59431 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 2153403509712 in words is "two trillion, one hundred fifty-three billion, four hundred three million, five hundred nine thousand, seven hundred twelve".