23450251680 has 480 divisors, whose sum is σ = 87096860928. Its totient is φ = 5930496000.

The previous prime is 23450251679. The next prime is 23450251751. The reversal of 23450251680 is 8615205432.

23450251680 is a `hidden beast` number, since 2 + 345 + 0 + 251 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45009820 + ... + 45010340.

Almost surely, 2^23450251680 is an apocalyptic number.

23450251680 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 23450251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43548430464).

23450251680 is an abundant number, since it is smaller than the sum of its proper divisors (63646609248).

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

23450251680 is a wasteful number, since it uses less digits than its factorization.

23450251680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 23450251680 in words is "twenty-three billion, four hundred fifty million, two hundred fifty-one thousand, six hundred eighty".