21182107155456 has 1056 divisors, whose sum is σ = 67641261891840. Its totient is φ = 5841281875968.

The previous prime is 21182107155389. The next prime is 21182107155499. The reversal of 21182107155456 is 65455170128112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45357830935 + ... + 45357831401.

Almost surely, 2^{21182107155456} is an apocalyptic number.

21182107155456 is a gapful number since it is divisible by the number (26) 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 21182107155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33820630945920).

21182107155456 is an abundant number, since it is smaller than the sum of its proper divisors (46459154736384).

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

21182107155456 is a wasteful number, since it uses less digits than its factorization.

21182107155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 21182107155456 in words is "twenty-one trillion, one hundred eighty-two billion, one hundred seven million, one hundred fifty-five thousand, four hundred fifty-six".