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20589225360 = 243511193113241
BaseRepresentation
bin10011001011001101…
…101010010110010000
31222010220021000111020
4103023031222112100
5314131320202420
613243014315440
71326135346044
oct231315522620
958126230436
1020589225360
118806098830
123ba7358b80
131c317a01b2
14dd4666024
1580785b340
hex4cb36a590

20589225360 has 320 divisors, whose sum is σ = 75663728640. Its totient is φ = 4575744000.

The previous prime is 20589225347. The next prime is 20589225373. The reversal of 20589225360 is 6352298502.

It is an interprime number because it is at equal distance from previous prime (20589225347) and next prime (20589225373).

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, 1548340 + ... + 1561580.

It is an arithmetic number, because the mean of its divisors is an integer number (236449152).

Almost surely, 220589225360 is an apocalyptic number.

20589225360 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 20589225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37831864320).

20589225360 is an abundant number, since it is smaller than the sum of its proper divisors (55074503280).

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

20589225360 is a wasteful number, since it uses less digits than its factorization.

20589225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318 (or 13312 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 20589225360 in words is "twenty billion, five hundred eighty-nine million, two hundred twenty-five thousand, three hundred sixty".