2023063257600 has 1440 divisors, whose sum is σ = 9361896800256. Its totient is φ = 420327014400.

The previous prime is 2023063257599. The next prime is 2023063257641. The reversal of 2023063257600 is 67523603202.

It is a happy number.

2023063257600 is a `hidden beast` number, since 2 + 0 + 23 + 0 + 6 + 3 + 25 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2023063257600² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239496577 + ... + 239505023.

Almost surely, 2^{2023063257600} is an apocalyptic number.

2023063257600 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 2023063257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680948400128).

2023063257600 is an abundant number, since it is smaller than the sum of its proper divisors (7338833542656).

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

2023063257600 is an equidigital number, since it uses as much as digits as its factorization.

2023063257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 2023063257600 in words is "two trillion, twenty-three billion, sixty-three million, two hundred fifty-seven thousand, six hundred".