23783733578880 has 2560 divisors, whose sum is σ = 101573277696000. Its totient is φ = 5240401920000.

The previous prime is 23783733578873. The next prime is 23783733578881. The reversal of 23783733578880 is 8887533738732.

23783733578880 is a `hidden beast` number, since 2 + 3 + 78 + 373 + 35 + 7 + 88 + 80 = 666.

It is a super-2 number, since 2×23783733578880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 23783733578799 and 23783733578808.

It is not an unprimeable number, because it can be changed into a prime (23783733578881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31669418505 + ... + 31669419255.

It is an arithmetic number, because the mean of its divisors is an integer number (39677061600).

Almost surely, 2^{23783733578880} is an apocalyptic number.

23783733578880 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 23783733578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50786638848000).

23783733578880 is an abundant number, since it is smaller than the sum of its proper divisors (77789544117120).

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

23783733578880 is a wasteful number, since it uses less digits than its factorization.

23783733578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 23783733578880 in words is "twenty-three trillion, seven hundred eighty-three billion, seven hundred thirty-three million, five hundred seventy-eight thousand, eight hundred eighty".