2023315755120 has 320 divisors, whose sum is σ = 7606648857600. Its totient is φ = 490250050560.

The previous prime is 2023315755107. The next prime is 2023315755133. The reversal of 2023315755120 is 215575133202.

2023315755120 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 31 + 57 + 551 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2023315755107) and next prime (2023315755133).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48758541 + ... + 48800019.

It is an arithmetic number, because the mean of its divisors is an integer number (23770777680).

Almost surely, 2^{2023315755120} is an apocalyptic number.

2023315755120 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 2023315755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803324428800).

2023315755120 is an abundant number, since it is smaller than the sum of its proper divisors (5583333102480).

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

2023315755120 is a wasteful number, since it uses less digits than its factorization.

2023315755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43565 (or 43553 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 2023315755120 in words is "two trillion, twenty-three billion, three hundred fifteen million, seven hundred fifty-five thousand, one hundred twenty".