23249761920 has 1536 divisors, whose sum is σ = 109983744000. Its totient is φ = 4379443200.

The previous prime is 23249761919. The next prime is 23249761933. The reversal of 23249761920 is 2916794232.

23249761920 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 9 + 7 + 619 + 20 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261233236 + ... + 261233324.

It is an arithmetic number, because the mean of its divisors is an integer number (71604000).

Almost surely, 2^23249761920 is an apocalyptic number.

23249761920 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 23249761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54991872000).

23249761920 is an abundant number, since it is smaller than the sum of its proper divisors (86733982080).

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

23249761920 is a wasteful number, since it uses less digits than its factorization.

23249761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 23249761920 in words is "twenty-three billion, two hundred forty-nine million, seven hundred sixty-one thousand, nine hundred twenty".