2053001610000 has 1200 divisors, whose sum is σ = 8246246456448. Its totient is φ = 472089600000.

The previous prime is 2053001609999. The next prime is 2053001610019. The reversal of 2053001610000 is 161003502.

2053001610000 is a `hidden beast` number, since 2 + 0 + 53 + 0 + 0 + 1 + 610 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×2053001610000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1501829317 + ... + 1501830683.

Almost surely, 2^{2053001610000} is an apocalyptic number.

2053001610000 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 2053001610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123123228224).

2053001610000 is an abundant number, since it is smaller than the sum of its proper divisors (6193244846448).

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

2053001610000 is a wasteful number, since it uses less digits than its factorization.

2053001610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 2053001610000 its reverse (161003502), we get a palindrome (2053162613502).

The spelling of 2053001610000 in words is "two trillion, fifty-three billion, one million, six hundred ten thousand".