20137578200064 has 1320 divisors, whose sum is σ = 68579691486768. Its totient is φ = 5875460997120.

The previous prime is 20137578200057. The next prime is 20137578200177. The reversal of 20137578200064 is 46000287573102.

20137578200064 is a `hidden beast` number, since 2 + 0 + 1 + 375 + 78 + 200 + 0 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20137578199992 and 20137578200019.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21264601639 + ... + 21264602585.

Almost surely, 2^{20137578200064} is an apocalyptic number.

20137578200064 is a gapful number since it is divisible by the number (24) 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 20137578200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34289845743384).

20137578200064 is an abundant number, since it is smaller than the sum of its proper divisors (48442113286704).

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

20137578200064 is a wasteful number, since it uses less digits than its factorization.

20137578200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20137578200064 in words is "twenty trillion, one hundred thirty-seven billion, five hundred seventy-eight million, two hundred thousand, sixty-four".