20901343680 has 1344 divisors, whose sum is σ = 93728194560. Its totient is φ = 4326690816.

The previous prime is 20901343663. The next prime is 20901343693. The reversal of 20901343680 is 8634310902.

20901343680 = 7806² + 7807² + ... + 8134².

20901343680 is a `hidden beast` number, since 209 + 0 + 13 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 444709417 + ... + 444709463.

It is an arithmetic number, because the mean of its divisors is an integer number (69738240).

Almost surely, 2^20901343680 is an apocalyptic number.

20901343680 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 20901343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46864097280).

20901343680 is an abundant number, since it is smaller than the sum of its proper divisors (72826850880).

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

20901343680 is a wasteful number, since it uses less digits than its factorization.

20901343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20901343680 in words is "twenty billion, nine hundred one million, three hundred forty-three thousand, six hundred eighty".