2053123620480 has 384 divisors, whose sum is σ = 7466292288000. Its totient is φ = 518443573248.

The previous prime is 2053123620439. The next prime is 2053123620481. The reversal of 2053123620480 is 840263213502.

2053123620480 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 1 + 23 + 620 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (2053123620481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436553809 + ... + 436558511.

It is an arithmetic number, because the mean of its divisors is an integer number (19443469500).

Almost surely, 2^{2053123620480} is an apocalyptic number.

2053123620480 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 2053123620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733146144000).

2053123620480 is an abundant number, since it is smaller than the sum of its proper divisors (5413168667520).

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

2053123620480 is a wasteful number, since it uses less digits than its factorization.

2053123620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 2053123620480 its reverse (840263213502), we get a palindrome (2893386833982).

The spelling of 2053123620480 in words is "two trillion, fifty-three billion, one hundred twenty-three million, six hundred twenty thousand, four hundred eighty".