19980536138016 has 96 divisors (see below), whose sum is σ = 52539389763840. Its totient is φ = 6648691279104.

The previous prime is 19980536137993. The next prime is 19980536138053. The reversal of 19980536138016 is 61083163508991.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1000868451 + ... + 1000888413.

It is an arithmetic number, because the mean of its divisors is an integer number (547285310040).

Almost surely, 2^{19980536138016} is an apocalyptic number.

19980536138016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19980536138016 is an abundant number, since it is smaller than the sum of its proper divisors (32558853625824).

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

19980536138016 is a wasteful number, since it uses less digits than its factorization.

19980536138016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37438 (or 37430 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 19980536138016 in words is "nineteen trillion, nine hundred eighty billion, five hundred thirty-six million, one hundred thirty-eight thousand, sixteen".