20100364712064 has 288 divisors, whose sum is σ = 72460022756940. Its totient is φ = 5301194895360.

The previous prime is 20100364711993. The next prime is 20100364712081. The reversal of 20100364712064 is 46021746300102.

20100364712064 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 3 + 647 + 1 + 2 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20091981478464 + 8383233600 = 4482408^2 + 91560^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12961807 + ... + 14429454.

Almost surely, 2^{20100364712064} is an apocalyptic number.

20100364712064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20100364712064 is an abundant number, since it is smaller than the sum of its proper divisors (52359658044876).

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

20100364712064 is a wasteful number, since it uses less digits than its factorization.

20100364712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27391308 (or 27391286 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20100364712064 in words is "twenty trillion, one hundred billion, three hundred sixty-four million, seven hundred twelve thousand, sixty-four".