23842546560 has 512 divisors, whose sum is σ = 96940800000. Its totient is φ = 5425201152.

The previous prime is 23842546543. The next prime is 23842546577. The reversal of 23842546560 is 6564524832.

23842546560 is a `hidden beast` number, since 2 + 3 + 8 + 42 + 5 + 46 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (23842546543) and next prime (23842546577).

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 63 ways as a sum of consecutive naturals, for example, 53101216 + ... + 53101664.

It is an arithmetic number, because the mean of its divisors is an integer number (189337500).

Almost surely, 2^23842546560 is an apocalyptic number.

23842546560 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 23842546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400000).

23842546560 is an abundant number, since it is smaller than the sum of its proper divisors (73098253440).

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

23842546560 is a wasteful number, since it uses less digits than its factorization.

23842546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 23842546560 in words is "twenty-three billion, eight hundred forty-two million, five hundred forty-six thousand, five hundred sixty".