2153929789440 has 3744 divisors, whose sum is σ = 10278386576640. Its totient is φ = 411083735040.

The previous prime is 2153929789373. The next prime is 2153929789469. The reversal of 2153929789440 is 449879293512.

2153929789440 is a `hidden beast` number, since 2 + 1 + 539 + 2 + 9 + 7 + 8 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93649121269 + ... + 93649121291.

It is an arithmetic number, because the mean of its divisors is an integer number (2745295560).

Almost surely, 2^{2153929789440} is an apocalyptic number.

2153929789440 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 2153929789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139193288320).

2153929789440 is an abundant number, since it is smaller than the sum of its proper divisors (8124456787200).

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

2153929789440 is a wasteful number, since it uses less digits than its factorization.

2153929789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2153929789440 in words is "two trillion, one hundred fifty-three billion, nine hundred twenty-nine million, seven hundred eighty-nine thousand, four hundred forty".