2053689624900 has 135 divisors (see below), whose sum is σ = 6657668546221. Its totient is φ = 547616172960.

The previous prime is 2053689624863. The next prime is 2053689624937. The reversal of 2053689624900 is 94269863502.

It is a happy number.

The square root of 2053689624900 is 1433070.

It is a perfect power (a square), and thus also a powerful number.

2053689624900 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 6 + 8 + 9 + 624 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2053689624863) and next prime (2053689624937).

It can be written as a sum of positive squares in only one way, i.e., 739328264964 + 1314361359936 = 859842^2 + 1146456^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 128968339 + ... + 128984261.

Almost surely, 2^{2053689624900} is an apocalyptic number.

2053689624900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2053689624900 is the 1433070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053689624900

2053689624900 is an abundant number, since it is smaller than the sum of its proper divisors (4603978921321).

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

2053689624900 is an frugal number, since it uses more digits than its factorization.

2053689624900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31872 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2053689624900 in words is "two trillion, fifty-three billion, six hundred eighty-nine million, six hundred twenty-four thousand, nine hundred".