20987800176960 has 560 divisors, whose sum is σ = 77469648740352. Its totient is φ = 5387809996800.

The previous prime is 20987800176953. The next prime is 20987800176997. The reversal of 20987800176960 is 6967100878902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153403944 + ... + 153540696.

Almost surely, 2^{20987800176960} is an apocalyptic number.

20987800176960 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 20987800176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38734824370176).

20987800176960 is an abundant number, since it is smaller than the sum of its proper divisors (56481848563392).

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

20987800176960 is a wasteful number, since it uses less digits than its factorization.

20987800176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137004 (or 136985 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 20987800176960 in words is "twenty trillion, nine hundred eighty-seven billion, eight hundred million, one hundred seventy-six thousand, nine hundred sixty".