23279892480 has 960 divisors, whose sum is σ = 95896120320. Its totient is φ = 5350883328.

The previous prime is 23279892473. The next prime is 23279892511. The reversal of 23279892480 is 8429897232.

It is a happy number.

23279892480 is a `hidden beast` number, since 2 + 3 + 2 + 79 + 8 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183306177 + ... + 183306303.

It is an arithmetic number, because the mean of its divisors is an integer number (99891792).

Almost surely, 2^23279892480 is an apocalyptic number.

23279892480 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 23279892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47948060160).

23279892480 is an abundant number, since it is smaller than the sum of its proper divisors (72616227840).

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

23279892480 is a wasteful number, since it uses less digits than its factorization.

23279892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 23279892480 in words is "twenty-three billion, two hundred seventy-nine million, eight hundred ninety-two thousand, four hundred eighty".