20157063154304 has 64 divisors (see below), whose sum is σ = 42535615924800. Its totient is φ = 9481926389760.

The previous prime is 20157063154259. The next prime is 20157063154399. The reversal of 20157063154304 is 40345136075102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20157063154304² (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3677477 + ... + 7337435.

It is an arithmetic number, because the mean of its divisors is an integer number (664618998825).

Almost surely, 2^{20157063154304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20157063154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21267807962400).

20157063154304 is an abundant number, since it is smaller than the sum of its proper divisors (22378552770496).

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

20157063154304 is a wasteful number, since it uses less digits than its factorization.

20157063154304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662521 (or 3662509 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 20157063154304 in words is "twenty trillion, one hundred fifty-seven billion, sixty-three million, one hundred fifty-four thousand, three hundred four".