23434099920 has 480 divisors, whose sum is σ = 103287674880. Its totient is φ = 4612930560.

The previous prime is 23434099883. The next prime is 23434099957. The reversal of 23434099920 is 2999043432.

It is a happy number.

23434099920 is a `hidden beast` number, since 234 + 3 + 409 + 9 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23434099883) and next prime (23434099957).

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

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, 1042237 + ... + 1064483.

It is an arithmetic number, because the mean of its divisors is an integer number (215182656).

Almost surely, 2^23434099920 is an apocalyptic number.

23434099920 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 23434099920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51643837440).

23434099920 is an abundant number, since it is smaller than the sum of its proper divisors (79853574960).

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

23434099920 is a wasteful number, since it uses less digits than its factorization.

23434099920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22303 (or 22294 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 23434099920 in words is "twenty-three billion, four hundred thirty-four million, ninety-nine thousand, nine hundred twenty".