2053399013400 has 192 divisors, whose sum is σ = 7281758937600. Its totient is φ = 468905794560.

The previous prime is 2053399013389. The next prime is 2053399013411. The reversal of 2053399013400 is 43109933502.

It is an interprime number because it is at equal distance from previous prime (2053399013389) and next prime (2053399013411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4234636 + ... + 4694564.

It is an arithmetic number, because the mean of its divisors is an integer number (37925827800).

Almost surely, 2^{2053399013400} is an apocalyptic number.

2053399013400 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 2053399013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640879468800).

2053399013400 is an abundant number, since it is smaller than the sum of its proper divisors (5228359924200).

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

2053399013400 is a wasteful number, since it uses less digits than its factorization.

2053399013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461018 (or 461009 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 2053399013400 in words is "two trillion, fifty-three billion, three hundred ninety-nine million, thirteen thousand, four hundred".