23511481378560 has 864 divisors, whose sum is σ = 94600466932608. Its totient is φ = 5279909806080.

The previous prime is 23511481378559. The next prime is 23511481378657. The reversal of 23511481378560 is 6587318411532.

23511481378560 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 1 + 4 + 8 + 1 + 3 + 78 + 560 = 666.

It is a super-2 number, since 2×23511481378560² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23511481378497 and 23511481378506.

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, 5376508534 + ... + 5376512906.

It is an arithmetic number, because the mean of its divisors is an integer number (109491281172).

Almost surely, 2^{23511481378560} is an apocalyptic number.

23511481378560 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 23511481378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47300233466304).

23511481378560 is an abundant number, since it is smaller than the sum of its proper divisors (71088985554048).

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

23511481378560 is a wasteful number, since it uses less digits than its factorization.

23511481378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 23511481378560 in words is "twenty-three trillion, five hundred eleven billion, four hundred eighty-one million, three hundred seventy-eight thousand, five hundred sixty".