2089957123800 has 1728 divisors, whose sum is σ = 9195610773600. Its totient is φ = 440193761280.

The previous prime is 2089957123789. The next prime is 2089957123811. The reversal of 2089957123800 is 83217599802.

2089957123800 is a `hidden beast` number, since 208 + 9 + 9 + 57 + 1 + 2 + 380 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2089957123789) and next prime (2089957123811).

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

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 431 ways as a sum of consecutive naturals, for example, 3622109112 + ... + 3622109688.

Almost surely, 2^{2089957123800} is an apocalyptic number.

2089957123800 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 2089957123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597805386800).

2089957123800 is an abundant number, since it is smaller than the sum of its proper divisors (7105653649800).

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

2089957123800 is a wasteful number, since it uses less digits than its factorization.

2089957123800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2089957123800 in words is "two trillion, eighty-nine billion, nine hundred fifty-seven million, one hundred twenty-three thousand, eight hundred".