2053311427104 has 96 divisors (see below), whose sum is σ = 6164940773376. Its totient is φ = 586183599360.

The previous prime is 2053311427099. The next prime is 2053311427109. The reversal of 2053311427104 is 4017241133502.

It is an interprime number because it is at equal distance from previous prime (2053311427099) and next prime (2053311427109).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2053311427109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413842 + ... + 2068305.

It is an arithmetic number, because the mean of its divisors is an integer number (64218133056).

Almost surely, 2^{2053311427104} is an apocalyptic number.

2053311427104 is a gapful number since it is divisible by the number (24) 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 2053311427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082470386688).

2053311427104 is an abundant number, since it is smaller than the sum of its proper divisors (4111629346272).

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

2053311427104 is a wasteful number, since it uses less digits than its factorization.

2053311427104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483398 (or 2483390 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 2053311427104 in words is "two trillion, fifty-three billion, three hundred eleven million, four hundred twenty-seven thousand, one hundred four".