2053908360000 has 2240 divisors, whose sum is σ = 9242641408000. Its totient is φ = 436700160000.

The previous prime is 2053908359977. The next prime is 2053908360041. The reversal of 2053908360000 is 638093502.

2053908360000 is a `hidden beast` number, since 205 + 3 + 90 + 8 + 360 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11347559910 + ... + 11347560090.

It is an arithmetic number, because the mean of its divisors is an integer number (4126179200).

Almost surely, 2^{2053908360000} is an apocalyptic number.

2053908360000 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 2053908360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621320704000).

2053908360000 is an abundant number, since it is smaller than the sum of its proper divisors (7188733048000).

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

2053908360000 is a wasteful number, since it uses less digits than its factorization.

2053908360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2053908360000 in words is "two trillion, fifty-three billion, nine hundred eight million, three hundred sixty thousand".