20480126717952 has 832 divisors, whose sum is σ = 70540629888000. Its totient is φ = 5878924738560.

The previous prime is 20480126717917. The next prime is 20480126717959. The reversal of 20480126717952 is 25971762108402.

20480126717952 is a `hidden beast` number, since 2 + 0 + 480 + 1 + 2 + 6 + 71 + 7 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20480126717959) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1872206499 + ... + 1872217437.

Almost surely, 2^{20480126717952} is an apocalyptic number.

20480126717952 is a gapful number since it is divisible by the number (22) 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 20480126717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35270314944000).

20480126717952 is an abundant number, since it is smaller than the sum of its proper divisors (50060503170048).

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

20480126717952 is an equidigital number, since it uses as much as digits as its factorization.

20480126717952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014 (or 10974 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 20480126717952 in words is "twenty trillion, four hundred eighty billion, one hundred twenty-six million, seven hundred seventeen thousand, nine hundred fifty-two".