20859100879680 has 1008 divisors, whose sum is σ = 90343421893440. Its totient is φ = 4516824840192.

The previous prime is 20859100879637. The next prime is 20859100879741. The reversal of 20859100879680 is 8697800195802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152764719 + ... + 152901201.

Almost surely, 2^{20859100879680} is an apocalyptic number.

20859100879680 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 20859100879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45171710946720).

20859100879680 is an abundant number, since it is smaller than the sum of its proper divisors (69484321013760).

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

20859100879680 is a wasteful number, since it uses less digits than its factorization.

20859100879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136561 (or 136519 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 20859100879680 in words is "twenty trillion, eight hundred fifty-nine billion, one hundred million, eight hundred seventy-nine thousand, six hundred eighty".