21077144691120 has 320 divisors, whose sum is σ = 82975279242240. Its totient is φ = 4817346711552.

The previous prime is 21077144691047. The next prime is 21077144691139. The reversal of 21077144691120 is 2119644177012.

21077144691120 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 71 + 4 + 469 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 354882067 + ... + 354941453.

It is an arithmetic number, because the mean of its divisors is an integer number (259297747632).

Almost surely, 2^{21077144691120} is an apocalyptic number.

21077144691120 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 21077144691120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41487639621120).

21077144691120 is an abundant number, since it is smaller than the sum of its proper divisors (61898134551120).

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

21077144691120 is a wasteful number, since it uses less digits than its factorization.

21077144691120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82889 (or 82877 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 21077144691120 in words is "twenty-one trillion, seventy-seven billion, one hundred forty-four million, six hundred ninety-one thousand, one hundred twenty".