21180372083640 has 512 divisors, whose sum is σ = 88159441305600. Its totient is φ = 4394260523520.

The previous prime is 21180372083627. The next prime is 21180372083671. The reversal of 21180372083640 is 4638027308112.

21180372083640 is a `hidden beast` number, since 2 + 1 + 1 + 80 + 3 + 7 + 208 + 364 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53273829 + ... + 53669931.

It is an arithmetic number, because the mean of its divisors is an integer number (172186408800).

Almost surely, 2^{21180372083640} is an apocalyptic number.

21180372083640 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 21180372083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44079720652800).

21180372083640 is an abundant number, since it is smaller than the sum of its proper divisors (66979069221960).

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

21180372083640 is a wasteful number, since it uses less digits than its factorization.

21180372083640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396784 (or 396774 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 21180372083640 in words is "twenty-one trillion, one hundred eighty billion, three hundred seventy-two million, eighty-three thousand, six hundred forty".