21137650589440 has 576 divisors, whose sum is σ = 66549204771840. Its totient is φ = 6232009605120.

The previous prime is 21137650589411. The next prime is 21137650589501. The reversal of 21137650589440 is 4498505673112.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 63 ways as a sum of consecutive naturals, for example, 1267768944 + ... + 1267785616.

It is an arithmetic number, because the mean of its divisors is an integer number (115536813840).

It is a 1-persistent number, because it is pandigital, but 2⋅21137650589440 = 42275301178880 is not.

Almost surely, 2^{21137650589440} is an apocalyptic number.

21137650589440 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 21137650589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33274602385920).

21137650589440 is an abundant number, since it is smaller than the sum of its proper divisors (45411554182400).

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

21137650589440 is a wasteful number, since it uses less digits than its factorization.

21137650589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 21137650589440 in words is "twenty-one trillion, one hundred thirty-seven billion, six hundred fifty million, five hundred eighty-nine thousand, four hundred forty".