20838060885600 has 1152 divisors, whose sum is σ = 90211186114560. Its totient is φ = 4538882304000.

The previous prime is 20838060885581. The next prime is 20838060885643. The reversal of 20838060885600 is 658806083802.

20838060885600 is a `hidden beast` number, since 20 + 8 + 3 + 8 + 0 + 6 + 0 + 8 + 8 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 942418545 + ... + 942440655.

It is an arithmetic number, because the mean of its divisors is an integer number (78308321280).

Almost surely, 2^{20838060885600} is an apocalyptic number.

20838060885600 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 20838060885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45105593057280).

20838060885600 is an abundant number, since it is smaller than the sum of its proper divisors (69373125228960).

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

20838060885600 is a wasteful number, since it uses less digits than its factorization.

20838060885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22441 (or 22422 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 20838060885600 in words is "twenty trillion, eight hundred thirty-eight billion, sixty million, eight hundred eighty-five thousand, six hundred".