20515735764160 has 112 divisors (see below), whose sum is σ = 60126887209536. Its totient is φ = 6492892188672.

The previous prime is 20515735764151. The next prime is 20515735764179. The reversal of 20515735764160 is 6146753751502.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 20515735764098 and 20515735764107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352232827 + ... + 352291066.

It is an arithmetic number, because the mean of its divisors is an integer number (536847207228).

Almost surely, 2^{20515735764160} is an apocalyptic number.

20515735764160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20515735764160 is an abundant number, since it is smaller than the sum of its proper divisors (39611151445376).

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

20515735764160 is a wasteful number, since it uses less digits than its factorization.

20515735764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704523930 (or 704523920 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 52.

The spelling of 20515735764160 in words is "twenty trillion, five hundred fifteen billion, seven hundred thirty-five million, seven hundred sixty-four thousand, one hundred sixty".