21146554160340 has 192 divisors, whose sum is σ = 69745202247168. Its totient is φ = 4686125875200.

The previous prime is 21146554160227. The next prime is 21146554160393. The reversal of 21146554160340 is 4306145564112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21146554160292 and 21146554160301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1945420 + ... + 6788060.

It is an arithmetic number, because the mean of its divisors is an integer number (363256261704).

Almost surely, 2^{21146554160340} is an apocalyptic number.

21146554160340 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 21146554160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872601123584).

21146554160340 is an abundant number, since it is smaller than the sum of its proper divisors (48598648086828).

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

21146554160340 is a wasteful number, since it uses less digits than its factorization.

21146554160340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842978 (or 4842976 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 21146554160340 in words is "twenty-one trillion, one hundred forty-six billion, five hundred fifty-four million, one hundred sixty thousand, three hundred forty".