23038022763720 has 1536 divisors, whose sum is σ = 86877129830400. Its totient is φ = 5464461201408.

The previous prime is 23038022763673. The next prime is 23038022763733. The reversal of 23038022763720 is 2736722083032.

23038022763720 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 8 + 0 + 2 + 2 + 7 + 637 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 78628063894 + ... + 78628064186.

It is an arithmetic number, because the mean of its divisors is an integer number (56560631400).

Almost surely, 2^{23038022763720} is an apocalyptic number.

23038022763720 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 23038022763720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43438564915200).

23038022763720 is an abundant number, since it is smaller than the sum of its proper divisors (63839107066680).

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

23038022763720 is a wasteful number, since it uses less digits than its factorization.

23038022763720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 23038022763720 in words is "twenty-three trillion, thirty-eight billion, twenty-two million, seven hundred sixty-three thousand, seven hundred twenty".