2053085918400 has 672 divisors, whose sum is σ = 8594401708800. Its totient is φ = 471520051200.

The previous prime is 2053085918399. The next prime is 2053085918441. The reversal of 2053085918400 is 48195803502.

2053085918400 is a `hidden beast` number, since 2 + 0 + 53 + 0 + 8 + 591 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8915104 + ... + 9142496.

Almost surely, 2^{2053085918400} is an apocalyptic number.

2053085918400 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 2053085918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297200854400).

2053085918400 is an abundant number, since it is smaller than the sum of its proper divisors (6541315790400).

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

2053085918400 is a wasteful number, since it uses less digits than its factorization.

2053085918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227454 (or 227433 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2053085918400 in words is "two trillion, fifty-three billion, eighty-five million, nine hundred eighteen thousand, four hundred".