23066780400 has 480 divisors, whose sum is σ = 85031432640. Its totient is φ = 5935104000.

The previous prime is 23066780393. The next prime is 23066780417. The reversal of 23066780400 is 408766032.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50036170 + ... + 50036630.

It is an arithmetic number, because the mean of its divisors is an integer number (177148818).

Almost surely, 2^23066780400 is an apocalyptic number.

23066780400 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 23066780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42515716320).

23066780400 is an abundant number, since it is smaller than the sum of its proper divisors (61964652240).

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

23066780400 is a wasteful number, since it uses less digits than its factorization.

23066780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23066780400 in words is "twenty-three billion, sixty-six million, seven hundred eighty thousand, four hundred".