20165216537400 has 192 divisors, whose sum is σ = 68292394185600. Its totient is φ = 4881562560000.

The previous prime is 20165216537393. The next prime is 20165216537429. The reversal of 20165216537400 is 473561256102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447331 + ... + 6805869.

It is an arithmetic number, because the mean of its divisors is an integer number (355689553050).

Almost surely, 2^{20165216537400} is an apocalyptic number.

20165216537400 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 20165216537400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34146197092800).

20165216537400 is an abundant number, since it is smaller than the sum of its proper divisors (48127177648200).

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

20165216537400 is a wasteful number, since it uses less digits than its factorization.

20165216537400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359270 (or 4359261 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 20165216537400 in words is "twenty trillion, one hundred sixty-five billion, two hundred sixteen million, five hundred thirty-seven thousand, four hundred".