2053577142000 has 480 divisors, whose sum is σ = 7231213154880. Its totient is φ = 543152332800.

The previous prime is 2053577141977. The next prime is 2053577142041. The reversal of 2053577142000 is 2417753502.

2053577142000 is a `hidden beast` number, since 2 + 0 + 53 + 577 + 14 + 20 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1987973484 + ... + 1987974516.

It is an arithmetic number, because the mean of its divisors is an integer number (15065027406).

Almost surely, 2^{2053577142000} is an apocalyptic number.

2053577142000 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 2053577142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615606577440).

2053577142000 is an abundant number, since it is smaller than the sum of its proper divisors (5177636012880).

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

2053577142000 is a wasteful number, since it uses less digits than its factorization.

2053577142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 2053577142000 in words is "two trillion, fifty-three billion, five hundred seventy-seven million, one hundred forty-two thousand".