20612973158400 has 1008 divisors, whose sum is σ = 81132492348864. Its totient is φ = 4601677086720.

The previous prime is 20612973158377. The next prime is 20612973158411. The reversal of 20612973158400 is 485137921602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20612973158400.

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 71 ways as a sum of consecutive naturals, for example, 1294532839 + ... + 1294548761.

It is a 1-persistent number, because it is pandigital, but 2⋅20612973158400 = 41225946316800 is not.

Almost surely, 2^{20612973158400} is an apocalyptic number.

20612973158400 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 20612973158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40566246174432).

20612973158400 is an abundant number, since it is smaller than the sum of its proper divisors (60519519190464).

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

20612973158400 is a wasteful number, since it uses less digits than its factorization.

20612973158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16019 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 20612973158400 in words is "twenty trillion, six hundred twelve billion, nine hundred seventy-three million, one hundred fifty-eight thousand, four hundred".