23508728511840 has 1152 divisors, whose sum is σ = 96663289282560. Its totient is φ = 5126226739200.

The previous prime is 23508728511839. The next prime is 23508728511871. The reversal of 23508728511840 is 4811582780532.

It is a happy number.

23508728511840 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 87 + 2 + 8 + 511 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13364824881 + ... + 13364826639.

It is an arithmetic number, because the mean of its divisors is an integer number (83909105280).

Almost surely, 2^{23508728511840} is an apocalyptic number.

23508728511840 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 23508728511840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48331644641280).

23508728511840 is an abundant number, since it is smaller than the sum of its proper divisors (73154560770720).

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

23508728511840 is a wasteful number, since it uses less digits than its factorization.

23508728511840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 23508728511840 in words is "twenty-three trillion, five hundred eight billion, seven hundred twenty-eight million, five hundred eleven thousand, eight hundred forty".