20739586560 has 640 divisors, whose sum is σ = 87566966784. Its totient is φ = 4054056960.

The previous prime is 20739586559. The next prime is 20739586561. The reversal of 20739586560 is 6568593702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20739586559) and next prime (20739586561).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (20739586561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10052089 + ... + 10054151.

Almost surely, 2^20739586560 is an apocalyptic number.

20739586560 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 20739586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43783483392).

20739586560 is an abundant number, since it is smaller than the sum of its proper divisors (66827380224).

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

20739586560 is a wasteful number, since it uses less digits than its factorization.

20739586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 20739586560 in words is "twenty billion, seven hundred thirty-nine million, five hundred eighty-six thousand, five hundred sixty".