2053967863500 has 720 divisors, whose sum is σ = 7736606605728. Its totient is φ = 458456544000.

The previous prime is 2053967863477. The next prime is 2053967863513. The reversal of 2053967863500 is 53687693502.

It is a happy number.

2053967863500 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 9 + 6 + 78 + 63 + 500 = 666.

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, 464591290 + ... + 464595710.

Almost surely, 2^{2053967863500} is an apocalyptic number.

2053967863500 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 2053967863500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868303302864).

2053967863500 is an abundant number, since it is smaller than the sum of its proper divisors (5682638742228).

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

2053967863500 is a wasteful number, since it uses less digits than its factorization.

2053967863500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 2053967863500 in words is "two trillion, fifty-three billion, nine hundred sixty-seven million, eight hundred sixty-three thousand, five hundred".