23158005745920 has 864 divisors, whose sum is σ = 82928570497920. Its totient is φ = 5490005114880.

The previous prime is 23158005745873. The next prime is 23158005745949. The reversal of 23158005745920 is 2954750085132.

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 95 ways as a sum of consecutive naturals, for example, 2045573860 + ... + 2045585180.

It is an arithmetic number, because the mean of its divisors is an integer number (95982141780).

Almost surely, 2^{23158005745920} is an apocalyptic number.

23158005745920 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 23158005745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41464285248960).

23158005745920 is an abundant number, since it is smaller than the sum of its proper divisors (59770564752000).

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

23158005745920 is a wasteful number, since it uses less digits than its factorization.

23158005745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11463 (or 11426 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 23158005745920 in words is "twenty-three trillion, one hundred fifty-eight billion, five million, seven hundred forty-five thousand, nine hundred twenty".