23038965069120 has 5376 divisors, whose sum is σ = 122069896445952. Its totient is φ = 3973030871040.

The previous prime is 23038965069101. The next prime is 23038965069151. The reversal of 23038965069120 is 2196056983032.

23038965069120 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 8 + 9 + 6 + 506 + 9 + 120 = 666.

It is a super-2 number, since 2×23038965069120² (a number of 28 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 30434563782 + ... + 30434564538.

It is an arithmetic number, because the mean of its divisors is an integer number (22706453952).

Almost surely, 2^{23038965069120} is an apocalyptic number.

23038965069120 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 23038965069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61034948222976).

23038965069120 is an abundant number, since it is smaller than the sum of its proper divisors (99030931376832).

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

23038965069120 is a wasteful number, since it uses less digits than its factorization.

23038965069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 23038965069120 in words is "twenty-three trillion, thirty-eight billion, nine hundred sixty-five million, sixty-nine thousand, one hundred twenty".