21601677313020 has 192 divisors, whose sum is σ = 71361922867200. Its totient is φ = 4777802219520.

The previous prime is 21601677312973. The next prime is 21601677313057. The reversal of 21601677313020 is 2031377610612.

It is a self number, because there is not a number n which added to its sum of digits gives 21601677313020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149514576 + ... + 149658984.

It is an arithmetic number, because the mean of its divisors is an integer number (371676681600).

Almost surely, 2^{21601677313020} is an apocalyptic number.

21601677313020 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 21601677313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35680961433600).

21601677313020 is an abundant number, since it is smaller than the sum of its proper divisors (49760245554180).

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

21601677313020 is a wasteful number, since it uses less digits than its factorization.

21601677313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155948 (or 155946 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 21601677313020 in words is "twenty-one trillion, six hundred one billion, six hundred seventy-seven million, three hundred thirteen thousand, twenty".