23748802560 has 576 divisors, whose sum is σ = 98258378400. Its totient is φ = 5425201152.

The previous prime is 23748802549. The next prime is 23748802591. The reversal of 23748802560 is 6520884732.

23748802560 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 8 + 80 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 13546644 + ... + 13548396.

Almost surely, 2^23748802560 is an apocalyptic number.

23748802560 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 23748802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49129189200).

23748802560 is an abundant number, since it is smaller than the sum of its proper divisors (74509575840).

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

23748802560 is a wasteful number, since it uses less digits than its factorization.

23748802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23748802560 in words is "twenty-three billion, seven hundred forty-eight million, eight hundred two thousand, five hundred sixty".