2153353051440 has 320 divisors, whose sum is σ = 7631116041600. Its totient is φ = 557714128896.

The previous prime is 2153353051427. The next prime is 2153353051459. The reversal of 2153353051440 is 441503533512.

2153353051440 is a `hidden beast` number, since 2 + 1 + 5 + 33 + 530 + 51 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2153353051395 and 2153353051404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45450804 + ... + 45498156.

It is an arithmetic number, because the mean of its divisors is an integer number (23847237630).

Almost surely, 2^{2153353051440} is an apocalyptic number.

2153353051440 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 2153353051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815558020800).

2153353051440 is an abundant number, since it is smaller than the sum of its proper divisors (5477762990160).

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

2153353051440 is a wasteful number, since it uses less digits than its factorization.

2153353051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47981 (or 47969 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 2153353051440 its reverse (441503533512), we get a palindrome (2594856584952).

The spelling of 2153353051440 in words is "two trillion, one hundred fifty-three billion, three hundred fifty-three million, fifty-one thousand, four hundred forty".