20881125457920 has 1440 divisors, whose sum is σ = 92397730833408. Its totient is φ = 4405305802752.

The previous prime is 20881125457883. The next prime is 20881125457943. The reversal of 20881125457920 is 2975452118802.

It is a happy number.

20881125457920 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 1 + 1 + 2 + 545 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811491197 + ... + 1811502723.

Almost surely, 2^{20881125457920} is an apocalyptic number.

20881125457920 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 20881125457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46198865416704).

20881125457920 is an abundant number, since it is smaller than the sum of its proper divisors (71516605375488).

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

20881125457920 is an equidigital number, since it uses as much as digits as its factorization.

20881125457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11595 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 20881125457920 in words is "twenty trillion, eight hundred eighty-one billion, one hundred twenty-five million, four hundred fifty-seven thousand, nine hundred twenty".