23001188028000 has 768 divisors, whose sum is σ = 93449316280320. Its totient is φ = 4815922176000.

The previous prime is 23001188027971. The next prime is 23001188028029. The reversal of 23001188028000 is 82088110032.

It is an interprime number because it is at equal distance from previous prime (23001188027971) and next prime (23001188028029).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142971606 + ... + 143132394.

It is an arithmetic number, because the mean of its divisors is an integer number (121678797240).

Almost surely, 2^{23001188028000} is an apocalyptic number.

23001188028000 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 23001188028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46724658140160).

23001188028000 is an abundant number, since it is smaller than the sum of its proper divisors (70448128252320).

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

23001188028000 is a wasteful number, since it uses less digits than its factorization.

23001188028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160968 (or 160950 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 23001188028000 in words is "twenty-three trillion, one billion, one hundred eighty-eight million, twenty-eight thousand".